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Finding the Fourth Proportional to 627.50, 865.95 and 365.66

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Solution

The fourth proportional to 627.50, 865.95 and 365.66 is: 504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 865.95 = 365.66 : x
  2. Step 2: Convert to fraction form
    627.50/865.95 = 365.66/x
  3. Step 3: Cross multiply
    627.50x = 865.95 × 365.66
  4. Step 4: Simplify right side
    627.50x = 316,643.28
  5. Step 5: Solve for x
    x = 316,643.28/627.50
  6. Step 6: Final answer
    x = 504.61

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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.