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Finding the Fourth Proportional to 545.22, 752.31 and 359.07

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Solution

The fourth proportional to 545.22, 752.31 and 359.07 is: 495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.22 : 752.31 = 359.07 : x
  2. Step 2: Convert to fraction form
    545.22/752.31 = 359.07/x
  3. Step 3: Cross multiply
    545.22x = 752.31 × 359.07
  4. Step 4: Simplify right side
    545.22x = 270,131.95
  5. Step 5: Solve for x
    x = 270,131.95/545.22
  6. Step 6: Final answer
    x = 495.45

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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.