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Finding the Fourth Proportional to 387.17, 534.30 and 229.93

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Solution

The fourth proportional to 387.17, 534.30 and 229.93 is: 317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.17 : 534.30 = 229.93 : x
  2. Step 2: Convert to fraction form
    387.17/534.30 = 229.93/x
  3. Step 3: Cross multiply
    387.17x = 534.30 × 229.93
  4. Step 4: Simplify right side
    387.17x = 122,850.93
  5. Step 5: Solve for x
    x = 122,850.93/387.17
  6. Step 6: Final answer
    x = 317.31

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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.