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Finding the Fourth Proportional to 418.56, 627.84 and 349.74

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Solution

The fourth proportional to 418.56, 627.84 and 349.74 is: 524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 627.84 = 349.74 : x
  2. Step 2: Convert to fraction form
    418.56/627.84 = 349.74/x
  3. Step 3: Cross multiply
    418.56x = 627.84 × 349.74
  4. Step 4: Simplify right side
    418.56x = 219,580.76
  5. Step 5: Solve for x
    x = 219,580.76/418.56
  6. Step 6: Final answer
    x = 524.61

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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.