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Finding the Fourth Proportional to 519.83, 717.45 and 410.14

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Solution

The fourth proportional to 519.83, 717.45 and 410.14 is: 566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.83 : 717.45 = 410.14 : x
  2. Step 2: Convert to fraction form
    519.83/717.45 = 410.14/x
  3. Step 3: Cross multiply
    519.83x = 717.45 × 410.14
  4. Step 4: Simplify right side
    519.83x = 294,254.94
  5. Step 5: Solve for x
    x = 294,254.94/519.83
  6. Step 6: Final answer
    x = 566.06

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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.