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Finding the Fourth Proportional to 519.77, 717.92 and 410.69

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Solution

The fourth proportional to 519.77, 717.92 and 410.69 is: 567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.77 : 717.92 = 410.69 : x
  2. Step 2: Convert to fraction form
    519.77/717.92 = 410.69/x
  3. Step 3: Cross multiply
    519.77x = 717.92 × 410.69
  4. Step 4: Simplify right side
    519.77x = 294,836.92
  5. Step 5: Solve for x
    x = 294,836.92/519.77
  6. Step 6: Final answer
    x = 567.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.