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Finding the Fourth Proportional to 545.72, 753.21 and 349.20

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Solution

The fourth proportional to 545.72, 753.21 and 349.20 is: 481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.72 : 753.21 = 349.20 : x
  2. Step 2: Convert to fraction form
    545.72/753.21 = 349.20/x
  3. Step 3: Cross multiply
    545.72x = 753.21 × 349.20
  4. Step 4: Simplify right side
    545.72x = 263,020.93
  5. Step 5: Solve for x
    x = 263,020.93/545.72
  6. Step 6: Final answer
    x = 481.97

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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.