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Finding the Fourth Proportional to 545.82, 753 and 324.66

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Solution

The fourth proportional to 545.82, 753 and 324.66 is: 447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.82 : 753 = 324.66 : x
  2. Step 2: Convert to fraction form
    545.82/753 = 324.66/x
  3. Step 3: Cross multiply
    545.82x = 753 × 324.66
  4. Step 4: Simplify right side
    545.82x = 244,468.98
  5. Step 5: Solve for x
    x = 244,468.98/545.82
  6. Step 6: Final answer
    x = 447.89

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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.