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Finding the Fourth Proportional to 691.30, 953.98 and 396.56

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Solution

The fourth proportional to 691.30, 953.98 and 396.56 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.30 : 953.98 = 396.56 : x
  2. Step 2: Convert to fraction form
    691.30/953.98 = 396.56/x
  3. Step 3: Cross multiply
    691.30x = 953.98 × 396.56
  4. Step 4: Simplify right side
    691.30x = 378,311.70
  5. Step 5: Solve for x
    x = 378,311.70/691.30
  6. Step 6: Final answer
    x = 547.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.