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Finding the Fourth Proportional to 649.96, 974.16 and 238.77

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Solution

The fourth proportional to 649.96, 974.16 and 238.77 is: 357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 974.16 = 238.77 : x
  2. Step 2: Convert to fraction form
    649.96/974.16 = 238.77/x
  3. Step 3: Cross multiply
    649.96x = 974.16 × 238.77
  4. Step 4: Simplify right side
    649.96x = 232,600.18
  5. Step 5: Solve for x
    x = 232,600.18/649.96
  6. Step 6: Final answer
    x = 357.87

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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.