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Finding the Fourth Proportional to 627.18, 865.08 and 430.35

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Solution

The fourth proportional to 627.18, 865.08 and 430.35 is: 593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.18 : 865.08 = 430.35 : x
  2. Step 2: Convert to fraction form
    627.18/865.08 = 430.35/x
  3. Step 3: Cross multiply
    627.18x = 865.08 × 430.35
  4. Step 4: Simplify right side
    627.18x = 372,288.80
  5. Step 5: Solve for x
    x = 372,288.80/627.18
  6. Step 6: Final answer
    x = 593.59

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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.