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Finding the Fourth Proportional to 545.41, 752.77 and 324.31

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Solution

The fourth proportional to 545.41, 752.77 and 324.31 is: 447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.41 : 752.77 = 324.31 : x
  2. Step 2: Convert to fraction form
    545.41/752.77 = 324.31/x
  3. Step 3: Cross multiply
    545.41x = 752.77 × 324.31
  4. Step 4: Simplify right side
    545.41x = 244,129.22
  5. Step 5: Solve for x
    x = 244,129.22/545.41
  6. Step 6: Final answer
    x = 447.61

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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.