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Finding the Fourth Proportional to 387.52, 534.72 and 219.48

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Solution

The fourth proportional to 387.52, 534.72 and 219.48 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.52 : 534.72 = 219.48 : x
  2. Step 2: Convert to fraction form
    387.52/534.72 = 219.48/x
  3. Step 3: Cross multiply
    387.52x = 534.72 × 219.48
  4. Step 4: Simplify right side
    387.52x = 117,360.35
  5. Step 5: Solve for x
    x = 117,360.35/387.52
  6. Step 6: Final answer
    x = 302.85

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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.