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Finding the Fourth Proportional to 285.12, 425.39 and 271.35

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Solution

The fourth proportional to 285.12, 425.39 and 271.35 is: 404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.12 : 425.39 = 271.35 : x
  2. Step 2: Convert to fraction form
    285.12/425.39 = 271.35/x
  3. Step 3: Cross multiply
    285.12x = 425.39 × 271.35
  4. Step 4: Simplify right side
    285.12x = 115,428.22
  5. Step 5: Solve for x
    x = 115,428.22/285.12
  6. Step 6: Final answer
    x = 404.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.