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Finding the Fourth Proportional to 627.48, 865.93 and 365.50

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Solution

The fourth proportional to 627.48, 865.93 and 365.50 is: 504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 865.93 = 365.50 : x
  2. Step 2: Convert to fraction form
    627.48/865.93 = 365.50/x
  3. Step 3: Cross multiply
    627.48x = 865.93 × 365.50
  4. Step 4: Simplify right side
    627.48x = 316,497.42
  5. Step 5: Solve for x
    x = 316,497.42/627.48
  6. Step 6: Final answer
    x = 504.39

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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.