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Finding the Fourth Proportional to 545.40, 752.78 and 348.92

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Solution

The fourth proportional to 545.40, 752.78 and 348.92 is: 481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.40 : 752.78 = 348.92 : x
  2. Step 2: Convert to fraction form
    545.40/752.78 = 348.92/x
  3. Step 3: Cross multiply
    545.40x = 752.78 × 348.92
  4. Step 4: Simplify right side
    545.40x = 262,660.00
  5. Step 5: Solve for x
    x = 262,660.00/545.40
  6. Step 6: Final answer
    x = 481.59

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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.