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Finding the Fourth Proportional to 519.95, 717.93 and 409.23

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Solution

The fourth proportional to 519.95, 717.93 and 409.23 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.95 : 717.93 = 409.23 : x
  2. Step 2: Convert to fraction form
    519.95/717.93 = 409.23/x
  3. Step 3: Cross multiply
    519.95x = 717.93 × 409.23
  4. Step 4: Simplify right side
    519.95x = 293,798.49
  5. Step 5: Solve for x
    x = 293,798.49/519.95
  6. Step 6: Final answer
    x = 565.05

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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.