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Finding the Fourth Proportional to 502.36, 753.69 and 177.79

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Solution

The fourth proportional to 502.36, 753.69 and 177.79 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.36 : 753.69 = 177.79 : x
  2. Step 2: Convert to fraction form
    502.36/753.69 = 177.79/x
  3. Step 3: Cross multiply
    502.36x = 753.69 × 177.79
  4. Step 4: Simplify right side
    502.36x = 133,998.55
  5. Step 5: Solve for x
    x = 133,998.55/502.36
  6. Step 6: Final answer
    x = 266.74

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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.