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Finding the Fourth Proportional to 545.46, 817.58 and 237.57

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Solution

The fourth proportional to 545.46, 817.58 and 237.57 is: 356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.46 : 817.58 = 237.57 : x
  2. Step 2: Convert to fraction form
    545.46/817.58 = 237.57/x
  3. Step 3: Cross multiply
    545.46x = 817.58 × 237.57
  4. Step 4: Simplify right side
    545.46x = 194,231.29
  5. Step 5: Solve for x
    x = 194,231.29/545.46
  6. Step 6: Final answer
    x = 356.09

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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.