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Finding the Fourth Proportional to 576.93, 865.29 and 411.87

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Solution

The fourth proportional to 576.93, 865.29 and 411.87 is: 617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.93 : 865.29 = 411.87 : x
  2. Step 2: Convert to fraction form
    576.93/865.29 = 411.87/x
  3. Step 3: Cross multiply
    576.93x = 865.29 × 411.87
  4. Step 4: Simplify right side
    576.93x = 356,386.99
  5. Step 5: Solve for x
    x = 356,386.99/576.93
  6. Step 6: Final answer
    x = 617.73

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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.