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Finding the Fourth Proportional to 519.60, 717.96 and 409.95

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Solution

The fourth proportional to 519.60, 717.96 and 409.95 is: 566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 717.96 = 409.95 : x
  2. Step 2: Convert to fraction form
    519.60/717.96 = 409.95/x
  3. Step 3: Cross multiply
    519.60x = 717.96 × 409.95
  4. Step 4: Simplify right side
    519.60x = 294,327.70
  5. Step 5: Solve for x
    x = 294,327.70/519.60
  6. Step 6: Final answer
    x = 566.45

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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.