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Finding the Fourth Proportional to 675.46, 932.48 and 489.16

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Solution

The fourth proportional to 675.46, 932.48 and 489.16 is: 675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.46 : 932.48 = 489.16 : x
  2. Step 2: Convert to fraction form
    675.46/932.48 = 489.16/x
  3. Step 3: Cross multiply
    675.46x = 932.48 × 489.16
  4. Step 4: Simplify right side
    675.46x = 456,131.92
  5. Step 5: Solve for x
    x = 456,131.92/675.46
  6. Step 6: Final answer
    x = 675.29

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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.