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Finding the Fourth Proportional to 360.50, 496.99 and 242.27

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Solution

The fourth proportional to 360.50, 496.99 and 242.27 is: 333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.50 : 496.99 = 242.27 : x
  2. Step 2: Convert to fraction form
    360.50/496.99 = 242.27/x
  3. Step 3: Cross multiply
    360.50x = 496.99 × 242.27
  4. Step 4: Simplify right side
    360.50x = 120,405.45
  5. Step 5: Solve for x
    x = 120,405.45/360.50
  6. Step 6: Final answer
    x = 333.99

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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.