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Finding the Fourth Proportional to 576.89, 865.32 and 144.05

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Solution

The fourth proportional to 576.89, 865.32 and 144.05 is: 216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.89 : 865.32 = 144.05 : x
  2. Step 2: Convert to fraction form
    576.89/865.32 = 144.05/x
  3. Step 3: Cross multiply
    576.89x = 865.32 × 144.05
  4. Step 4: Simplify right side
    576.89x = 124,644.48
  5. Step 5: Solve for x
    x = 124,644.48/576.89
  6. Step 6: Final answer
    x = 216.06

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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.