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Finding the Fourth Proportional to 627.04, 865.10 and 364.88

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Solution

The fourth proportional to 627.04, 865.10 and 364.88 is: 503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.04 : 865.10 = 364.88 : x
  2. Step 2: Convert to fraction form
    627.04/865.10 = 364.88/x
  3. Step 3: Cross multiply
    627.04x = 865.10 × 364.88
  4. Step 4: Simplify right side
    627.04x = 315,657.69
  5. Step 5: Solve for x
    x = 315,657.69/627.04
  6. Step 6: Final answer
    x = 503.41

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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.