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Finding the Fourth Proportional to 362.50, 499.62 and 269.08

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Solution

The fourth proportional to 362.50, 499.62 and 269.08 is: 370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.50 : 499.62 = 269.08 : x
  2. Step 2: Convert to fraction form
    362.50/499.62 = 269.08/x
  3. Step 3: Cross multiply
    362.50x = 499.62 × 269.08
  4. Step 4: Simplify right side
    362.50x = 134,437.75
  5. Step 5: Solve for x
    x = 134,437.75/362.50
  6. Step 6: Final answer
    x = 370.86

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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.