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Finding the Fourth Proportional to 502.20, 751.59 and 319.68

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Solution

The fourth proportional to 502.20, 751.59 and 319.68 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.20 : 751.59 = 319.68 : x
  2. Step 2: Convert to fraction form
    502.20/751.59 = 319.68/x
  3. Step 3: Cross multiply
    502.20x = 751.59 × 319.68
  4. Step 4: Simplify right side
    502.20x = 240,268.29
  5. Step 5: Solve for x
    x = 240,268.29/502.20
  6. Step 6: Final answer
    x = 478.43

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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.