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Finding the Fourth Proportional to 649.01, 973.62 and 238.72

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Solution

The fourth proportional to 649.01, 973.62 and 238.72 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.01 : 973.62 = 238.72 : x
  2. Step 2: Convert to fraction form
    649.01/973.62 = 238.72/x
  3. Step 3: Cross multiply
    649.01x = 973.62 × 238.72
  4. Step 4: Simplify right side
    649.01x = 232,422.57
  5. Step 5: Solve for x
    x = 232,422.57/649.01
  6. Step 6: Final answer
    x = 358.12

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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.