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Finding the Fourth Proportional to 717.62, 1,076.62 and 306.78

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Solution

The fourth proportional to 717.62, 1,076.62 and 306.78 is: 460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.62 : 1,076.62 = 306.78 : x
  2. Step 2: Convert to fraction form
    717.62/1,076.62 = 306.78/x
  3. Step 3: Cross multiply
    717.62x = 1,076.62 × 306.78
  4. Step 4: Simplify right side
    717.62x = 330,285.48
  5. Step 5: Solve for x
    x = 330,285.48/717.62
  6. Step 6: Final answer
    x = 460.25

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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.