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Finding the Fourth Proportional to 646.92, 892.71 and 385.02

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Solution

The fourth proportional to 646.92, 892.71 and 385.02 is: 531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 892.71 = 385.02 : x
  2. Step 2: Convert to fraction form
    646.92/892.71 = 385.02/x
  3. Step 3: Cross multiply
    646.92x = 892.71 × 385.02
  4. Step 4: Simplify right side
    646.92x = 343,711.20
  5. Step 5: Solve for x
    x = 343,711.20/646.92
  6. Step 6: Final answer
    x = 531.30

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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.