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Finding the Fourth Proportional to 627.40, 865.89 and 365.42

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Solution

The fourth proportional to 627.40, 865.89 and 365.42 is: 504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.40 : 865.89 = 365.42 : x
  2. Step 2: Convert to fraction form
    627.40/865.89 = 365.42/x
  3. Step 3: Cross multiply
    627.40x = 865.89 × 365.42
  4. Step 4: Simplify right side
    627.40x = 316,409.19
  5. Step 5: Solve for x
    x = 316,409.19/627.40
  6. Step 6: Final answer
    x = 504.32

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Double scale
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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.