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Finding the Fourth Proportional to 514.30, 772.22 and 309.78

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Solution

The fourth proportional to 514.30, 772.22 and 309.78 is: 465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.30 : 772.22 = 309.78 : x
  2. Step 2: Convert to fraction form
    514.30/772.22 = 309.78/x
  3. Step 3: Cross multiply
    514.30x = 772.22 × 309.78
  4. Step 4: Simplify right side
    514.30x = 239,218.31
  5. Step 5: Solve for x
    x = 239,218.31/514.30
  6. Step 6: Final answer
    x = 465.13

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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.