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Finding the Fourth Proportional to 576.33, 794.50 and 355.13

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Solution

The fourth proportional to 576.33, 794.50 and 355.13 is: 489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.33 : 794.50 = 355.13 : x
  2. Step 2: Convert to fraction form
    576.33/794.50 = 355.13/x
  3. Step 3: Cross multiply
    576.33x = 794.50 × 355.13
  4. Step 4: Simplify right side
    576.33x = 282,150.79
  5. Step 5: Solve for x
    x = 282,150.79/576.33
  6. Step 6: Final answer
    x = 489.56

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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.