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Finding the Fourth Proportional to 627.10, 865.08 and 430.80

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Solution

The fourth proportional to 627.10, 865.08 and 430.80 is: 594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.10 : 865.08 = 430.80 : x
  2. Step 2: Convert to fraction form
    627.10/865.08 = 430.80/x
  3. Step 3: Cross multiply
    627.10x = 865.08 × 430.80
  4. Step 4: Simplify right side
    627.10x = 372,676.46
  5. Step 5: Solve for x
    x = 372,676.46/627.10
  6. Step 6: Final answer
    x = 594.29

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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.