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Finding the Fourth Proportional to 387.47, 534.71 and 212.82

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Solution

The fourth proportional to 387.47, 534.71 and 212.82 is: 293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.47 : 534.71 = 212.82 : x
  2. Step 2: Convert to fraction form
    387.47/534.71 = 212.82/x
  3. Step 3: Cross multiply
    387.47x = 534.71 × 212.82
  4. Step 4: Simplify right side
    387.47x = 113,796.98
  5. Step 5: Solve for x
    x = 113,796.98/387.47
  6. Step 6: Final answer
    x = 293.69

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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.