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Finding the Fourth Proportional to 384.54, 576.26 and 288.42

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Solution

The fourth proportional to 384.54, 576.26 and 288.42 is: 432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 576.26 = 288.42 : x
  2. Step 2: Convert to fraction form
    384.54/576.26 = 288.42/x
  3. Step 3: Cross multiply
    384.54x = 576.26 × 288.42
  4. Step 4: Simplify right side
    384.54x = 166,204.91
  5. Step 5: Solve for x
    x = 166,204.91/384.54
  6. Step 6: Final answer
    x = 432.22

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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.