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Finding the Fourth Proportional to 312.92, 432.42 and 230.12

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Solution

The fourth proportional to 312.92, 432.42 and 230.12 is: 318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.92 : 432.42 = 230.12 : x
  2. Step 2: Convert to fraction form
    312.92/432.42 = 230.12/x
  3. Step 3: Cross multiply
    312.92x = 432.42 × 230.12
  4. Step 4: Simplify right side
    312.92x = 99,508.49
  5. Step 5: Solve for x
    x = 99,508.49/312.92
  6. Step 6: Final answer
    x = 318.00

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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.