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Finding the Fourth Proportional to 627.44, 865.07 and 430.61

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Solution

The fourth proportional to 627.44, 865.07 and 430.61 is: 593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.44 : 865.07 = 430.61 : x
  2. Step 2: Convert to fraction form
    627.44/865.07 = 430.61/x
  3. Step 3: Cross multiply
    627.44x = 865.07 × 430.61
  4. Step 4: Simplify right side
    627.44x = 372,507.80
  5. Step 5: Solve for x
    x = 372,507.80/627.44
  6. Step 6: Final answer
    x = 593.69

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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.