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Finding the Fourth Proportional to 502.84, 752.79 and 381.58

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Solution

The fourth proportional to 502.84, 752.79 and 381.58 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 752.79 = 381.58 : x
  2. Step 2: Convert to fraction form
    502.84/752.79 = 381.58/x
  3. Step 3: Cross multiply
    502.84x = 752.79 × 381.58
  4. Step 4: Simplify right side
    502.84x = 287,249.61
  5. Step 5: Solve for x
    x = 287,249.61/502.84
  6. Step 6: Final answer
    x = 571.25

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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.