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Finding the Fourth Proportional to 519.62, 778 and 355.36

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Solution

The fourth proportional to 519.62, 778 and 355.36 is: 532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.62 : 778 = 355.36 : x
  2. Step 2: Convert to fraction form
    519.62/778 = 355.36/x
  3. Step 3: Cross multiply
    519.62x = 778 × 355.36
  4. Step 4: Simplify right side
    519.62x = 276,470.08
  5. Step 5: Solve for x
    x = 276,470.08/519.62
  6. Step 6: Final answer
    x = 532.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.