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Finding the Fourth Proportional to 387.24, 534.14 and 247.40

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Solution

The fourth proportional to 387.24, 534.14 and 247.40 is: 341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.24 : 534.14 = 247.40 : x
  2. Step 2: Convert to fraction form
    387.24/534.14 = 247.40/x
  3. Step 3: Cross multiply
    387.24x = 534.14 × 247.40
  4. Step 4: Simplify right side
    387.24x = 132,146.24
  5. Step 5: Solve for x
    x = 132,146.24/387.24
  6. Step 6: Final answer
    x = 341.25

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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.