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Finding the Fourth Proportional to 519.80, 717.56 and 333.32

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Solution

The fourth proportional to 519.80, 717.56 and 333.32 is: 460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.80 : 717.56 = 333.32 : x
  2. Step 2: Convert to fraction form
    519.80/717.56 = 333.32/x
  3. Step 3: Cross multiply
    519.80x = 717.56 × 333.32
  4. Step 4: Simplify right side
    519.80x = 239,177.10
  5. Step 5: Solve for x
    x = 239,177.10/519.80
  6. Step 6: Final answer
    x = 460.13

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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.