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Finding the Fourth Proportional to 387.02, 534.17 and 231.86

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Solution

The fourth proportional to 387.02, 534.17 and 231.86 is: 320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.02 : 534.17 = 231.86 : x
  2. Step 2: Convert to fraction form
    387.02/534.17 = 231.86/x
  3. Step 3: Cross multiply
    387.02x = 534.17 × 231.86
  4. Step 4: Simplify right side
    387.02x = 123,852.66
  5. Step 5: Solve for x
    x = 123,852.66/387.02
  6. Step 6: Final answer
    x = 320.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.