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Finding the Fourth Proportional to 489.32, 675.06 and 323.72

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Solution

The fourth proportional to 489.32, 675.06 and 323.72 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.32 : 675.06 = 323.72 : x
  2. Step 2: Convert to fraction form
    489.32/675.06 = 323.72/x
  3. Step 3: Cross multiply
    489.32x = 675.06 × 323.72
  4. Step 4: Simplify right side
    489.32x = 218,530.42
  5. Step 5: Solve for x
    x = 218,530.42/489.32
  6. Step 6: Final answer
    x = 446.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.