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Finding the Fourth Proportional to 384.08, 576.24 and 230.18

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Solution

The fourth proportional to 384.08, 576.24 and 230.18 is: 345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 576.24 = 230.18 : x
  2. Step 2: Convert to fraction form
    384.08/576.24 = 230.18/x
  3. Step 3: Cross multiply
    384.08x = 576.24 × 230.18
  4. Step 4: Simplify right side
    384.08x = 132,634.89
  5. Step 5: Solve for x
    x = 132,634.89/384.08
  6. Step 6: Final answer
    x = 345.34

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Why These Related Problems?

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