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Finding the Fourth Proportional to 972.82, 1,459.24 and 323.56

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Solution

The fourth proportional to 972.82, 1,459.24 and 323.56 is: 485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.82 : 1,459.24 = 323.56 : x
  2. Step 2: Convert to fraction form
    972.82/1,459.24 = 323.56/x
  3. Step 3: Cross multiply
    972.82x = 1,459.24 × 323.56
  4. Step 4: Simplify right side
    972.82x = 472,151.69
  5. Step 5: Solve for x
    x = 472,151.69/972.82
  6. Step 6: Final answer
    x = 485.34

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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.