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Finding the Fourth Proportional to 684.36, 944.10 and 462.96

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Solution

The fourth proportional to 684.36, 944.10 and 462.96 is: 638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.36 : 944.10 = 462.96 : x
  2. Step 2: Convert to fraction form
    684.36/944.10 = 462.96/x
  3. Step 3: Cross multiply
    684.36x = 944.10 × 462.96
  4. Step 4: Simplify right side
    684.36x = 437,080.54
  5. Step 5: Solve for x
    x = 437,080.54/684.36
  6. Step 6: Final answer
    x = 638.67

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.