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Finding the Fourth Proportional to 627.40, 865.66 and 365.26

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Solution

The fourth proportional to 627.40, 865.66 and 365.26 is: 503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.40 : 865.66 = 365.26 : x
  2. Step 2: Convert to fraction form
    627.40/865.66 = 365.26/x
  3. Step 3: Cross multiply
    627.40x = 865.66 × 365.26
  4. Step 4: Simplify right side
    627.40x = 316,190.97
  5. Step 5: Solve for x
    x = 316,190.97/627.40
  6. Step 6: Final answer
    x = 503.97

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1.5x scale

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.