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Finding the Fourth Proportional to 384.39, 576.58 and 110.48

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Solution

The fourth proportional to 384.39, 576.58 and 110.48 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.39 : 576.58 = 110.48 : x
  2. Step 2: Convert to fraction form
    384.39/576.58 = 110.48/x
  3. Step 3: Cross multiply
    384.39x = 576.58 × 110.48
  4. Step 4: Simplify right side
    384.39x = 63,702.14
  5. Step 5: Solve for x
    x = 63,702.14/384.39
  6. Step 6: Final answer
    x = 165.72

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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.