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Finding the Fourth Proportional to 691.50, 954.34 and 396.74

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Solution

The fourth proportional to 691.50, 954.34 and 396.74 is: 547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 954.34 = 396.74 : x
  2. Step 2: Convert to fraction form
    691.50/954.34 = 396.74/x
  3. Step 3: Cross multiply
    691.50x = 954.34 × 396.74
  4. Step 4: Simplify right side
    691.50x = 378,624.85
  5. Step 5: Solve for x
    x = 378,624.85/691.50
  6. Step 6: Final answer
    x = 547.54

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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.