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Finding the Fourth Proportional to 519.96, 717.08 and 409.24

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Solution

The fourth proportional to 519.96, 717.08 and 409.24 is: 564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.96 : 717.08 = 409.24 : x
  2. Step 2: Convert to fraction form
    519.96/717.08 = 409.24/x
  3. Step 3: Cross multiply
    519.96x = 717.08 × 409.24
  4. Step 4: Simplify right side
    519.96x = 293,457.82
  5. Step 5: Solve for x
    x = 293,457.82/519.96
  6. Step 6: Final answer
    x = 564.39

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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.