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Finding the Fourth Proportional to 691.43, 954.11 and 396.63

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Solution

The fourth proportional to 691.43, 954.11 and 396.63 is: 547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.43 : 954.11 = 396.63 : x
  2. Step 2: Convert to fraction form
    691.43/954.11 = 396.63/x
  3. Step 3: Cross multiply
    691.43x = 954.11 × 396.63
  4. Step 4: Simplify right side
    691.43x = 378,429.64
  5. Step 5: Solve for x
    x = 378,429.64/691.43
  6. Step 6: Final answer
    x = 547.32

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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.