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Finding the Fourth Proportional to 519.80, 779.45 and 288.14

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Solution

The fourth proportional to 519.80, 779.45 and 288.14 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.80 : 779.45 = 288.14 : x
  2. Step 2: Convert to fraction form
    519.80/779.45 = 288.14/x
  3. Step 3: Cross multiply
    519.80x = 779.45 × 288.14
  4. Step 4: Simplify right side
    519.80x = 224,585.39
  5. Step 5: Solve for x
    x = 224,585.39/519.80
  6. Step 6: Final answer
    x = 432.07

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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.