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Finding the Fourth Proportional to 545.41, 815.67 and 538.73

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Solution

The fourth proportional to 545.41, 815.67 and 538.73 is: 805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.41 : 815.67 = 538.73 : x
  2. Step 2: Convert to fraction form
    545.41/815.67 = 538.73/x
  3. Step 3: Cross multiply
    545.41x = 815.67 × 538.73
  4. Step 4: Simplify right side
    545.41x = 439,425.90
  5. Step 5: Solve for x
    x = 439,425.90/545.41
  6. Step 6: Final answer
    x = 805.68

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