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Finding the Fourth Proportional to 691.55, 954.37 and 396.82

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Solution

The fourth proportional to 691.55, 954.37 and 396.82 is: 547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.55 : 954.37 = 396.82 : x
  2. Step 2: Convert to fraction form
    691.55/954.37 = 396.82/x
  3. Step 3: Cross multiply
    691.55x = 954.37 × 396.82
  4. Step 4: Simplify right side
    691.55x = 378,713.10
  5. Step 5: Solve for x
    x = 378,713.10/691.55
  6. Step 6: Final answer
    x = 547.63

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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.