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Finding the Fourth Proportional to 545.40, 752.22 and 348.98

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Solution

The fourth proportional to 545.40, 752.22 and 348.98 is: 481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.40 : 752.22 = 348.98 : x
  2. Step 2: Convert to fraction form
    545.40/752.22 = 348.98/x
  3. Step 3: Cross multiply
    545.40x = 752.22 × 348.98
  4. Step 4: Simplify right side
    545.40x = 262,505.97
  5. Step 5: Solve for x
    x = 262,505.97/545.40
  6. Step 6: Final answer
    x = 481.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.