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Finding the Fourth Proportional to 502.56, 753.33 and 285.69

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Solution

The fourth proportional to 502.56, 753.33 and 285.69 is: 428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 753.33 = 285.69 : x
  2. Step 2: Convert to fraction form
    502.56/753.33 = 285.69/x
  3. Step 3: Cross multiply
    502.56x = 753.33 × 285.69
  4. Step 4: Simplify right side
    502.56x = 215,218.85
  5. Step 5: Solve for x
    x = 215,218.85/502.56
  6. Step 6: Final answer
    x = 428.25

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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.