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Finding the Fourth Proportional to 502.60, 752.78 and 286.04

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Solution

The fourth proportional to 502.60, 752.78 and 286.04 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 752.78 = 286.04 : x
  2. Step 2: Convert to fraction form
    502.60/752.78 = 286.04/x
  3. Step 3: Cross multiply
    502.60x = 752.78 × 286.04
  4. Step 4: Simplify right side
    502.60x = 215,325.19
  5. Step 5: Solve for x
    x = 215,325.19/502.60
  6. Step 6: Final answer
    x = 428.42

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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.