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Finding the Fourth Proportional to 649.07, 974.13 and 238.34

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Solution

The fourth proportional to 649.07, 974.13 and 238.34 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.07 : 974.13 = 238.34 : x
  2. Step 2: Convert to fraction form
    649.07/974.13 = 238.34/x
  3. Step 3: Cross multiply
    649.07x = 974.13 × 238.34
  4. Step 4: Simplify right side
    649.07x = 232,174.14
  5. Step 5: Solve for x
    x = 232,174.14/649.07
  6. Step 6: Final answer
    x = 357.70

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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.