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Finding the Fourth Proportional to 497.96, 747.03 and 209.38

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Solution

The fourth proportional to 497.96, 747.03 and 209.38 is: 314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.96 : 747.03 = 209.38 : x
  2. Step 2: Convert to fraction form
    497.96/747.03 = 209.38/x
  3. Step 3: Cross multiply
    497.96x = 747.03 × 209.38
  4. Step 4: Simplify right side
    497.96x = 156,413.14
  5. Step 5: Solve for x
    x = 156,413.14/497.96
  6. Step 6: Final answer
    x = 314.11

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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.