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Finding the Fourth Proportional to 691.31, 954.01 and 380.81

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Solution

The fourth proportional to 691.31, 954.01 and 380.81 is: 525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.31 : 954.01 = 380.81 : x
  2. Step 2: Convert to fraction form
    691.31/954.01 = 380.81/x
  3. Step 3: Cross multiply
    691.31x = 954.01 × 380.81
  4. Step 4: Simplify right side
    691.31x = 363,299.41
  5. Step 5: Solve for x
    x = 363,299.41/691.31
  6. Step 6: Final answer
    x = 525.52

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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.