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Finding the Fourth Proportional to 360.24, 539.42 and 277.62

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Solution

The fourth proportional to 360.24, 539.42 and 277.62 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 539.42 = 277.62 : x
  2. Step 2: Convert to fraction form
    360.24/539.42 = 277.62/x
  3. Step 3: Cross multiply
    360.24x = 539.42 × 277.62
  4. Step 4: Simplify right side
    360.24x = 149,752.39
  5. Step 5: Solve for x
    x = 149,752.39/360.24
  6. Step 6: Final answer
    x = 415.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.