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Finding the Fourth Proportional to 498.69, 748.08 and 255.06

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Solution

The fourth proportional to 498.69, 748.08 and 255.06 is: 382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.69 : 748.08 = 255.06 : x
  2. Step 2: Convert to fraction form
    498.69/748.08 = 255.06/x
  3. Step 3: Cross multiply
    498.69x = 748.08 × 255.06
  4. Step 4: Simplify right side
    498.69x = 190,805.28
  5. Step 5: Solve for x
    x = 190,805.28/498.69
  6. Step 6: Final answer
    x = 382.61

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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.