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Finding the Fourth Proportional to 545.25, 752.16 and 348.55

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Solution

The fourth proportional to 545.25, 752.16 and 348.55 is: 480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 752.16 = 348.55 : x
  2. Step 2: Convert to fraction form
    545.25/752.16 = 348.55/x
  3. Step 3: Cross multiply
    545.25x = 752.16 × 348.55
  4. Step 4: Simplify right side
    545.25x = 262,165.37
  5. Step 5: Solve for x
    x = 262,165.37/545.25
  6. Step 6: Final answer
    x = 480.82

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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.