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Finding the Fourth Proportional to 387.25, 534.33 and 221.42

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Solution

The fourth proportional to 387.25, 534.33 and 221.42 is: 305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.25 : 534.33 = 221.42 : x
  2. Step 2: Convert to fraction form
    387.25/534.33 = 221.42/x
  3. Step 3: Cross multiply
    387.25x = 534.33 × 221.42
  4. Step 4: Simplify right side
    387.25x = 118,312.68
  5. Step 5: Solve for x
    x = 118,312.68/387.25
  6. Step 6: Final answer
    x = 305.52

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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.