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Finding the Fourth Proportional to 545.36, 752.54 and 324.36

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Solution

The fourth proportional to 545.36, 752.54 and 324.36 is: 447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.36 : 752.54 = 324.36 : x
  2. Step 2: Convert to fraction form
    545.36/752.54 = 324.36/x
  3. Step 3: Cross multiply
    545.36x = 752.54 × 324.36
  4. Step 4: Simplify right side
    545.36x = 244,092.25
  5. Step 5: Solve for x
    x = 244,092.25/545.36
  6. Step 6: Final answer
    x = 447.58

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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.