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Finding the Fourth Proportional to 545.75, 818.63 and 203.75

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Solution

The fourth proportional to 545.75, 818.63 and 203.75 is: 305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.75 : 818.63 = 203.75 : x
  2. Step 2: Convert to fraction form
    545.75/818.63 = 203.75/x
  3. Step 3: Cross multiply
    545.75x = 818.63 × 203.75
  4. Step 4: Simplify right side
    545.75x = 166,794.84
  5. Step 5: Solve for x
    x = 166,794.84/545.75
  6. Step 6: Final answer
    x = 305.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.