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Finding the Fourth Proportional to 649.98, 974.91 and 259.92

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Solution

The fourth proportional to 649.98, 974.91 and 259.92 is: 389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 974.91 = 259.92 : x
  2. Step 2: Convert to fraction form
    649.98/974.91 = 259.92/x
  3. Step 3: Cross multiply
    649.98x = 974.91 × 259.92
  4. Step 4: Simplify right side
    649.98x = 253,398.61
  5. Step 5: Solve for x
    x = 253,398.61/649.98
  6. Step 6: Final answer
    x = 389.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.