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Finding the Fourth Proportional to 649.81, 974.16 and 238.74

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Solution

The fourth proportional to 649.81, 974.16 and 238.74 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.81 : 974.16 = 238.74 : x
  2. Step 2: Convert to fraction form
    649.81/974.16 = 238.74/x
  3. Step 3: Cross multiply
    649.81x = 974.16 × 238.74
  4. Step 4: Simplify right side
    649.81x = 232,570.96
  5. Step 5: Solve for x
    x = 232,570.96/649.81
  6. Step 6: Final answer
    x = 357.91

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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.