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Finding the Fourth Proportional to 685.71, 946.17 and 402.04

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Solution

The fourth proportional to 685.71, 946.17 and 402.04 is: 554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.71 : 946.17 = 402.04 : x
  2. Step 2: Convert to fraction form
    685.71/946.17 = 402.04/x
  3. Step 3: Cross multiply
    685.71x = 946.17 × 402.04
  4. Step 4: Simplify right side
    685.71x = 380,398.19
  5. Step 5: Solve for x
    x = 380,398.19/685.71
  6. Step 6: Final answer
    x = 554.75

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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.