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Finding the Fourth Proportional to 502.13, 754.61 and 296.79

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Solution

The fourth proportional to 502.13, 754.61 and 296.79 is: 446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 754.61 = 296.79 : x
  2. Step 2: Convert to fraction form
    502.13/754.61 = 296.79/x
  3. Step 3: Cross multiply
    502.13x = 754.61 × 296.79
  4. Step 4: Simplify right side
    502.13x = 223,959.22
  5. Step 5: Solve for x
    x = 223,959.22/502.13
  6. Step 6: Final answer
    x = 446.02

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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.