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Finding the Fourth Proportional to 418.84, 627.80 and 282.61

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Solution

The fourth proportional to 418.84, 627.80 and 282.61 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.84 : 627.80 = 282.61 : x
  2. Step 2: Convert to fraction form
    418.84/627.80 = 282.61/x
  3. Step 3: Cross multiply
    418.84x = 627.80 × 282.61
  4. Step 4: Simplify right side
    418.84x = 177,422.56
  5. Step 5: Solve for x
    x = 177,422.56/418.84
  6. Step 6: Final answer
    x = 423.60

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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.