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Finding the Fourth Proportional to 545.50, 752.02 and 365.95

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Solution

The fourth proportional to 545.50, 752.02 and 365.95 is: 504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.50 : 752.02 = 365.95 : x
  2. Step 2: Convert to fraction form
    545.50/752.02 = 365.95/x
  3. Step 3: Cross multiply
    545.50x = 752.02 × 365.95
  4. Step 4: Simplify right side
    545.50x = 275,201.74
  5. Step 5: Solve for x
    x = 275,201.74/545.50
  6. Step 6: Final answer
    x = 504.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.