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Finding the Fourth Proportional to 545.40, 752.85 and 365.99

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Solution

The fourth proportional to 545.40, 752.85 and 365.99 is: 505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.40 : 752.85 = 365.99 : x
  2. Step 2: Convert to fraction form
    545.40/752.85 = 365.99/x
  3. Step 3: Cross multiply
    545.40x = 752.85 × 365.99
  4. Step 4: Simplify right side
    545.40x = 275,535.57
  5. Step 5: Solve for x
    x = 275,535.57/545.40
  6. Step 6: Final answer
    x = 505.20

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Why These Related Problems?

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