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Finding the Fourth Proportional to 285.01, 427.17 and 252.20

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Solution

The fourth proportional to 285.01, 427.17 and 252.20 is: 378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.01 : 427.17 = 252.20 : x
  2. Step 2: Convert to fraction form
    285.01/427.17 = 252.20/x
  3. Step 3: Cross multiply
    285.01x = 427.17 × 252.20
  4. Step 4: Simplify right side
    285.01x = 107,732.27
  5. Step 5: Solve for x
    x = 107,732.27/285.01
  6. Step 6: Final answer
    x = 378.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.