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Finding the Fourth Proportional to 684.39, 944.11 and 448.24

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Solution

The fourth proportional to 684.39, 944.11 and 448.24 is: 618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.39 : 944.11 = 448.24 : x
  2. Step 2: Convert to fraction form
    684.39/944.11 = 448.24/x
  3. Step 3: Cross multiply
    684.39x = 944.11 × 448.24
  4. Step 4: Simplify right side
    684.39x = 423,187.87
  5. Step 5: Solve for x
    x = 423,187.87/684.39
  6. Step 6: Final answer
    x = 618.34

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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.