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Finding the Fourth Proportional to 498.92, 748.49 and 412.35

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Solution

The fourth proportional to 498.92, 748.49 and 412.35 is: 618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.92 : 748.49 = 412.35 : x
  2. Step 2: Convert to fraction form
    498.92/748.49 = 412.35/x
  3. Step 3: Cross multiply
    498.92x = 748.49 × 412.35
  4. Step 4: Simplify right side
    498.92x = 308,639.19
  5. Step 5: Solve for x
    x = 308,639.19/498.92
  6. Step 6: Final answer
    x = 618.61

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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.