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Finding the Fourth Proportional to 312.39, 466.07 and 281.61

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Solution

The fourth proportional to 312.39, 466.07 and 281.61 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.39 : 466.07 = 281.61 : x
  2. Step 2: Convert to fraction form
    312.39/466.07 = 281.61/x
  3. Step 3: Cross multiply
    312.39x = 466.07 × 281.61
  4. Step 4: Simplify right side
    312.39x = 131,248.56
  5. Step 5: Solve for x
    x = 131,248.56/312.39
  6. Step 6: Final answer
    x = 420.14

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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.