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Finding the Fourth Proportional to 545.16, 752.46 and 348.84

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Solution

The fourth proportional to 545.16, 752.46 and 348.84 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.16 : 752.46 = 348.84 : x
  2. Step 2: Convert to fraction form
    545.16/752.46 = 348.84/x
  3. Step 3: Cross multiply
    545.16x = 752.46 × 348.84
  4. Step 4: Simplify right side
    545.16x = 262,488.15
  5. Step 5: Solve for x
    x = 262,488.15/545.16
  6. Step 6: Final answer
    x = 481.49

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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.