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Finding the Fourth Proportional to 697.92, 963.02 and 387.42

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Solution

The fourth proportional to 697.92, 963.02 and 387.42 is: 534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 963.02 = 387.42 : x
  2. Step 2: Convert to fraction form
    697.92/963.02 = 387.42/x
  3. Step 3: Cross multiply
    697.92x = 963.02 × 387.42
  4. Step 4: Simplify right side
    697.92x = 373,093.21
  5. Step 5: Solve for x
    x = 373,093.21/697.92
  6. Step 6: Final answer
    x = 534.58

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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.