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Finding the Fourth Proportional to 463.32, 693.36 and 385.56

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Solution

The fourth proportional to 463.32, 693.36 and 385.56 is: 576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 693.36 = 385.56 : x
  2. Step 2: Convert to fraction form
    463.32/693.36 = 385.56/x
  3. Step 3: Cross multiply
    463.32x = 693.36 × 385.56
  4. Step 4: Simplify right side
    463.32x = 267,331.88
  5. Step 5: Solve for x
    x = 267,331.88/463.32
  6. Step 6: Final answer
    x = 576.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.