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Finding the Fourth Proportional to 691.71, 954.46 and 397.02

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Solution

The fourth proportional to 691.71, 954.46 and 397.02 is: 547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.71 : 954.46 = 397.02 : x
  2. Step 2: Convert to fraction form
    691.71/954.46 = 397.02/x
  3. Step 3: Cross multiply
    691.71x = 954.46 × 397.02
  4. Step 4: Simplify right side
    691.71x = 378,939.71
  5. Step 5: Solve for x
    x = 378,939.71/691.71
  6. Step 6: Final answer
    x = 547.83

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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.