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Finding the Fourth Proportional to 627.75, 865.22 and 430.92

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Solution

The fourth proportional to 627.75, 865.22 and 430.92 is: 593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.75 : 865.22 = 430.92 : x
  2. Step 2: Convert to fraction form
    627.75/865.22 = 430.92/x
  3. Step 3: Cross multiply
    627.75x = 865.22 × 430.92
  4. Step 4: Simplify right side
    627.75x = 372,838.45
  5. Step 5: Solve for x
    x = 372,838.45/627.75
  6. Step 6: Final answer
    x = 593.93

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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.