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Finding the Fourth Proportional to 545.08, 817.70 and 271.12

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Solution

The fourth proportional to 545.08, 817.70 and 271.12 is: 406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.08 : 817.70 = 271.12 : x
  2. Step 2: Convert to fraction form
    545.08/817.70 = 271.12/x
  3. Step 3: Cross multiply
    545.08x = 817.70 × 271.12
  4. Step 4: Simplify right side
    545.08x = 221,691.41
  5. Step 5: Solve for x
    x = 221,691.41/545.08
  6. Step 6: Final answer
    x = 406.72

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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.