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Finding the Fourth Proportional to 498.65, 747.17 and 293.39

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Solution

The fourth proportional to 498.65, 747.17 and 293.39 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 747.17 = 293.39 : x
  2. Step 2: Convert to fraction form
    498.65/747.17 = 293.39/x
  3. Step 3: Cross multiply
    498.65x = 747.17 × 293.39
  4. Step 4: Simplify right side
    498.65x = 219,210.74
  5. Step 5: Solve for x
    x = 219,210.74/498.65
  6. Step 6: Final answer
    x = 439.61

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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.