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Finding the Fourth Proportional to 498.07, 746.56 and 237.91

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Solution

The fourth proportional to 498.07, 746.56 and 237.91 is: 356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 746.56 = 237.91 : x
  2. Step 2: Convert to fraction form
    498.07/746.56 = 237.91/x
  3. Step 3: Cross multiply
    498.07x = 746.56 × 237.91
  4. Step 4: Simplify right side
    498.07x = 177,614.09
  5. Step 5: Solve for x
    x = 177,614.09/498.07
  6. Step 6: Final answer
    x = 356.60

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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.