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Finding the Fourth Proportional to 384.59, 576.89 and 96.02

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Solution

The fourth proportional to 384.59, 576.89 and 96.02 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.59 : 576.89 = 96.02 : x
  2. Step 2: Convert to fraction form
    384.59/576.89 = 96.02/x
  3. Step 3: Cross multiply
    384.59x = 576.89 × 96.02
  4. Step 4: Simplify right side
    384.59x = 55,393.94
  5. Step 5: Solve for x
    x = 55,393.94/384.59
  6. Step 6: Final answer
    x = 144.04

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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.