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Finding the Fourth Proportional to 627.22, 864.18 and 419.86

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Solution

The fourth proportional to 627.22, 864.18 and 419.86 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.22 : 864.18 = 419.86 : x
  2. Step 2: Convert to fraction form
    627.22/864.18 = 419.86/x
  3. Step 3: Cross multiply
    627.22x = 864.18 × 419.86
  4. Step 4: Simplify right side
    627.22x = 362,834.61
  5. Step 5: Solve for x
    x = 362,834.61/627.22
  6. Step 6: Final answer
    x = 578.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.