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Finding the Fourth Proportional to 387.42, 534.58 and 221.58

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Solution

The fourth proportional to 387.42, 534.58 and 221.58 is: 305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.42 : 534.58 = 221.58 : x
  2. Step 2: Convert to fraction form
    387.42/534.58 = 221.58/x
  3. Step 3: Cross multiply
    387.42x = 534.58 × 221.58
  4. Step 4: Simplify right side
    387.42x = 118,452.24
  5. Step 5: Solve for x
    x = 118,452.24/387.42
  6. Step 6: Final answer
    x = 305.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.