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Finding the Fourth Proportional to 360, 539.46 and 237.96

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Solution

The fourth proportional to 360, 539.46 and 237.96 is: 356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360 : 539.46 = 237.96 : x
  2. Step 2: Convert to fraction form
    360/539.46 = 237.96/x
  3. Step 3: Cross multiply
    360x = 539.46 × 237.96
  4. Step 4: Simplify right side
    360x = 128,369.90
  5. Step 5: Solve for x
    x = 128,369.90/360
  6. Step 6: Final answer
    x = 356.58

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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.