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Finding the Fourth Proportional to 627.30, 864.98 and 428.15

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Solution

The fourth proportional to 627.30, 864.98 and 428.15 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.30 : 864.98 = 428.15 : x
  2. Step 2: Convert to fraction form
    627.30/864.98 = 428.15/x
  3. Step 3: Cross multiply
    627.30x = 864.98 × 428.15
  4. Step 4: Simplify right side
    627.30x = 370,340.09
  5. Step 5: Solve for x
    x = 370,340.09/627.30
  6. Step 6: Final answer
    x = 590.38

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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.