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Finding the Fourth Proportional to 519.52, 779.12 and 358.24

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Solution

The fourth proportional to 519.52, 779.12 and 358.24 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.52 : 779.12 = 358.24 : x
  2. Step 2: Convert to fraction form
    519.52/779.12 = 358.24/x
  3. Step 3: Cross multiply
    519.52x = 779.12 × 358.24
  4. Step 4: Simplify right side
    519.52x = 279,111.95
  5. Step 5: Solve for x
    x = 279,111.95/519.52
  6. Step 6: Final answer
    x = 537.25

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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.