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Finding the Fourth Proportional to 498.80, 747.96 and 210.14

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Solution

The fourth proportional to 498.80, 747.96 and 210.14 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.80 : 747.96 = 210.14 : x
  2. Step 2: Convert to fraction form
    498.80/747.96 = 210.14/x
  3. Step 3: Cross multiply
    498.80x = 747.96 × 210.14
  4. Step 4: Simplify right side
    498.80x = 157,176.31
  5. Step 5: Solve for x
    x = 157,176.31/498.80
  6. Step 6: Final answer
    x = 315.11

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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.