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Finding the Fourth Proportional to 545.80, 753.48 and 359.56

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Solution

The fourth proportional to 545.80, 753.48 and 359.56 is: 496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 753.48 = 359.56 : x
  2. Step 2: Convert to fraction form
    545.80/753.48 = 359.56/x
  3. Step 3: Cross multiply
    545.80x = 753.48 × 359.56
  4. Step 4: Simplify right side
    545.80x = 270,921.27
  5. Step 5: Solve for x
    x = 270,921.27/545.80
  6. Step 6: Final answer
    x = 496.37

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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.