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Finding the Fourth Proportional to 982.24, 1,473.50 and 332.75

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Solution

The fourth proportional to 982.24, 1,473.50 and 332.75 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.24 : 1,473.50 = 332.75 : x
  2. Step 2: Convert to fraction form
    982.24/1,473.50 = 332.75/x
  3. Step 3: Cross multiply
    982.24x = 1,473.50 × 332.75
  4. Step 4: Simplify right side
    982.24x = 490,305.46
  5. Step 5: Solve for x
    x = 490,305.46/982.24
  6. Step 6: Final answer
    x = 499.17

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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.