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Finding the Fourth Proportional to 545.31, 817.71 and 198.63

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Solution

The fourth proportional to 545.31, 817.71 and 198.63 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.31 : 817.71 = 198.63 : x
  2. Step 2: Convert to fraction form
    545.31/817.71 = 198.63/x
  3. Step 3: Cross multiply
    545.31x = 817.71 × 198.63
  4. Step 4: Simplify right side
    545.31x = 162,421.74
  5. Step 5: Solve for x
    x = 162,421.74/545.31
  6. Step 6: Final answer
    x = 297.85

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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.