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Finding the Fourth Proportional to 691.73, 954.65 and 397.01

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Solution

The fourth proportional to 691.73, 954.65 and 397.01 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.73 : 954.65 = 397.01 : x
  2. Step 2: Convert to fraction form
    691.73/954.65 = 397.01/x
  3. Step 3: Cross multiply
    691.73x = 954.65 × 397.01
  4. Step 4: Simplify right side
    691.73x = 379,003.61
  5. Step 5: Solve for x
    x = 379,003.61/691.73
  6. Step 6: Final answer
    x = 547.91

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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.