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Finding the Fourth Proportional to 680.11, 938.73 and 470.32

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Solution

The fourth proportional to 680.11, 938.73 and 470.32 is: 649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.11 : 938.73 = 470.32 : x
  2. Step 2: Convert to fraction form
    680.11/938.73 = 470.32/x
  3. Step 3: Cross multiply
    680.11x = 938.73 × 470.32
  4. Step 4: Simplify right side
    680.11x = 441,503.49
  5. Step 5: Solve for x
    x = 441,503.49/680.11
  6. Step 6: Final answer
    x = 649.16

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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.