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Finding the Fourth Proportional to 691.63, 954.46 and 381.13

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Solution

The fourth proportional to 691.63, 954.46 and 381.13 is: 525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.63 : 954.46 = 381.13 : x
  2. Step 2: Convert to fraction form
    691.63/954.46 = 381.13/x
  3. Step 3: Cross multiply
    691.63x = 954.46 × 381.13
  4. Step 4: Simplify right side
    691.63x = 363,767.61
  5. Step 5: Solve for x
    x = 363,767.61/691.63
  6. Step 6: Final answer
    x = 525.96

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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.