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Finding the Fourth Proportional to 515.62, 773.54 and 284.39

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Solution

The fourth proportional to 515.62, 773.54 and 284.39 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.62 : 773.54 = 284.39 : x
  2. Step 2: Convert to fraction form
    515.62/773.54 = 284.39/x
  3. Step 3: Cross multiply
    515.62x = 773.54 × 284.39
  4. Step 4: Simplify right side
    515.62x = 219,987.04
  5. Step 5: Solve for x
    x = 219,987.04/515.62
  6. Step 6: Final answer
    x = 426.65

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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.