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Finding the Fourth Proportional to 515.48, 773.22 and 284.36

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Solution

The fourth proportional to 515.48, 773.22 and 284.36 is: 426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.48 : 773.22 = 284.36 : x
  2. Step 2: Convert to fraction form
    515.48/773.22 = 284.36/x
  3. Step 3: Cross multiply
    515.48x = 773.22 × 284.36
  4. Step 4: Simplify right side
    515.48x = 219,872.84
  5. Step 5: Solve for x
    x = 219,872.84/515.48
  6. Step 6: Final answer
    x = 426.54

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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.