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Finding the Fourth Proportional to 498.85, 748.57 and 210.29

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Solution

The fourth proportional to 498.85, 748.57 and 210.29 is: 315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.85 : 748.57 = 210.29 : x
  2. Step 2: Convert to fraction form
    498.85/748.57 = 210.29/x
  3. Step 3: Cross multiply
    498.85x = 748.57 × 210.29
  4. Step 4: Simplify right side
    498.85x = 157,412.52
  5. Step 5: Solve for x
    x = 157,412.52/498.85
  6. Step 6: Final answer
    x = 315.55

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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.