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Finding the Fourth Proportional to 972.82, 1,459.26 and 323.53

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Solution

The fourth proportional to 972.82, 1,459.26 and 323.53 is: 485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.82 : 1,459.26 = 323.53 : x
  2. Step 2: Convert to fraction form
    972.82/1,459.26 = 323.53/x
  3. Step 3: Cross multiply
    972.82x = 1,459.26 × 323.53
  4. Step 4: Simplify right side
    972.82x = 472,114.39
  5. Step 5: Solve for x
    x = 472,114.39/972.82
  6. Step 6: Final answer
    x = 485.30

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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.