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Finding the Fourth Proportional to 498.96, 748.50 and 210.48

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Solution

The fourth proportional to 498.96, 748.50 and 210.48 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 748.50 = 210.48 : x
  2. Step 2: Convert to fraction form
    498.96/748.50 = 210.48/x
  3. Step 3: Cross multiply
    498.96x = 748.50 × 210.48
  4. Step 4: Simplify right side
    498.96x = 157,544.28
  5. Step 5: Solve for x
    x = 157,544.28/498.96
  6. Step 6: Final answer
    x = 315.75

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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.