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Finding the Fourth Proportional to 691.56, 954.24 and 381

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Solution

The fourth proportional to 691.56, 954.24 and 381 is: 525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.56 : 954.24 = 381 : x
  2. Step 2: Convert to fraction form
    691.56/954.24 = 381/x
  3. Step 3: Cross multiply
    691.56x = 954.24 × 381
  4. Step 4: Simplify right side
    691.56x = 363,565.44
  5. Step 5: Solve for x
    x = 363,565.44/691.56
  6. Step 6: Final answer
    x = 525.72

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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.