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Finding the Fourth Proportional to 519.72, 779.24 and 256.14

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Solution

The fourth proportional to 519.72, 779.24 and 256.14 is: 384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 779.24 = 256.14 : x
  2. Step 2: Convert to fraction form
    519.72/779.24 = 256.14/x
  3. Step 3: Cross multiply
    519.72x = 779.24 × 256.14
  4. Step 4: Simplify right side
    519.72x = 199,593.25
  5. Step 5: Solve for x
    x = 199,593.25/519.72
  6. Step 6: Final answer
    x = 384.04

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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.