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Finding the Fourth Proportional to 972.91, 1,459.38 and 323.65

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Solution

The fourth proportional to 972.91, 1,459.38 and 323.65 is: 485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.91 : 1,459.38 = 323.65 : x
  2. Step 2: Convert to fraction form
    972.91/1,459.38 = 323.65/x
  3. Step 3: Cross multiply
    972.91x = 1,459.38 × 323.65
  4. Step 4: Simplify right side
    972.91x = 472,327.27
  5. Step 5: Solve for x
    x = 472,327.27/972.91
  6. Step 6: Final answer
    x = 485.48

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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.