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Finding the Fourth Proportional to 576.81, 865.03 and 230.04

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Solution

The fourth proportional to 576.81, 865.03 and 230.04 is: 344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.81 : 865.03 = 230.04 : x
  2. Step 2: Convert to fraction form
    576.81/865.03 = 230.04/x
  3. Step 3: Cross multiply
    576.81x = 865.03 × 230.04
  4. Step 4: Simplify right side
    576.81x = 198,990.35
  5. Step 5: Solve for x
    x = 198,990.35/576.81
  6. Step 6: Final answer
    x = 344.98

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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.