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Finding the Fourth Proportional to 387.47, 534.77 and 221.78

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Solution

The fourth proportional to 387.47, 534.77 and 221.78 is: 306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.47 : 534.77 = 221.78 : x
  2. Step 2: Convert to fraction form
    387.47/534.77 = 221.78/x
  3. Step 3: Cross multiply
    387.47x = 534.77 × 221.78
  4. Step 4: Simplify right side
    387.47x = 118,597.51
  5. Step 5: Solve for x
    x = 118,597.51/387.47
  6. Step 6: Final answer
    x = 306.09

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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.