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Finding the Fourth Proportional to 387.58, 534.88 and 212.92

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Solution

The fourth proportional to 387.58, 534.88 and 212.92 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.58 : 534.88 = 212.92 : x
  2. Step 2: Convert to fraction form
    387.58/534.88 = 212.92/x
  3. Step 3: Cross multiply
    387.58x = 534.88 × 212.92
  4. Step 4: Simplify right side
    387.58x = 113,886.65
  5. Step 5: Solve for x
    x = 113,886.65/387.58
  6. Step 6: Final answer
    x = 293.84

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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.