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Finding the Fourth Proportional to 498.24, 747.80 and 238.56

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Solution

The fourth proportional to 498.24, 747.80 and 238.56 is: 358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 747.80 = 238.56 : x
  2. Step 2: Convert to fraction form
    498.24/747.80 = 238.56/x
  3. Step 3: Cross multiply
    498.24x = 747.80 × 238.56
  4. Step 4: Simplify right side
    498.24x = 178,395.17
  5. Step 5: Solve for x
    x = 178,395.17/498.24
  6. Step 6: Final answer
    x = 358.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.