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Finding the Fourth Proportional to 691.21, 953.84 and 396.47

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Solution

The fourth proportional to 691.21, 953.84 and 396.47 is: 547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.21 : 953.84 = 396.47 : x
  2. Step 2: Convert to fraction form
    691.21/953.84 = 396.47/x
  3. Step 3: Cross multiply
    691.21x = 953.84 × 396.47
  4. Step 4: Simplify right side
    691.21x = 378,167.97
  5. Step 5: Solve for x
    x = 378,167.97/691.21
  6. Step 6: Final answer
    x = 547.11

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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.