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Finding the Fourth Proportional to 333.28, 499.74 and 276.04

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Solution

The fourth proportional to 333.28, 499.74 and 276.04 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.28 : 499.74 = 276.04 : x
  2. Step 2: Convert to fraction form
    333.28/499.74 = 276.04/x
  3. Step 3: Cross multiply
    333.28x = 499.74 × 276.04
  4. Step 4: Simplify right side
    333.28x = 137,948.23
  5. Step 5: Solve for x
    x = 137,948.23/333.28
  6. Step 6: Final answer
    x = 413.91

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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.