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Finding the Fourth Proportional to 684.34, 944.76 and 463.48

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Solution

The fourth proportional to 684.34, 944.76 and 463.48 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.34 : 944.76 = 463.48 : x
  2. Step 2: Convert to fraction form
    684.34/944.76 = 463.48/x
  3. Step 3: Cross multiply
    684.34x = 944.76 × 463.48
  4. Step 4: Simplify right side
    684.34x = 437,877.36
  5. Step 5: Solve for x
    x = 437,877.36/684.34
  6. Step 6: Final answer
    x = 639.85

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Half scale
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Double scale
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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.