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Finding the Fourth Proportional to 534.72, 800.16 and 380.16

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Solution

The fourth proportional to 534.72, 800.16 and 380.16 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.72 : 800.16 = 380.16 : x
  2. Step 2: Convert to fraction form
    534.72/800.16 = 380.16/x
  3. Step 3: Cross multiply
    534.72x = 800.16 × 380.16
  4. Step 4: Simplify right side
    534.72x = 304,188.83
  5. Step 5: Solve for x
    x = 304,188.83/534.72
  6. Step 6: Final answer
    x = 568.87

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Why These Related Problems?

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