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Finding the Fourth Proportional to 489.30, 732.52 and 380.76

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Solution

The fourth proportional to 489.30, 732.52 and 380.76 is: 570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.30 : 732.52 = 380.76 : x
  2. Step 2: Convert to fraction form
    489.30/732.52 = 380.76/x
  3. Step 3: Cross multiply
    489.30x = 732.52 × 380.76
  4. Step 4: Simplify right side
    489.30x = 278,910.65
  5. Step 5: Solve for x
    x = 278,910.65/489.30
  6. Step 6: Final answer
    x = 570.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.