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Finding the Fourth Proportional to 576.76, 865.14 and 499.48

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Solution

The fourth proportional to 576.76, 865.14 and 499.48 is: 749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.76 : 865.14 = 499.48 : x
  2. Step 2: Convert to fraction form
    576.76/865.14 = 499.48/x
  3. Step 3: Cross multiply
    576.76x = 865.14 × 499.48
  4. Step 4: Simplify right side
    576.76x = 432,120.13
  5. Step 5: Solve for x
    x = 432,120.13/576.76
  6. Step 6: Final answer
    x = 749.22

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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.