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Finding the Fourth Proportional to 545.37, 752.64 and 324.36

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Solution

The fourth proportional to 545.37, 752.64 and 324.36 is: 447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.37 : 752.64 = 324.36 : x
  2. Step 2: Convert to fraction form
    545.37/752.64 = 324.36/x
  3. Step 3: Cross multiply
    545.37x = 752.64 × 324.36
  4. Step 4: Simplify right side
    545.37x = 244,126.31
  5. Step 5: Solve for x
    x = 244,126.31/545.37
  6. Step 6: Final answer
    x = 447.63

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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.