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Finding the Fourth Proportional to 545.83, 753.20 and 324.75

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Solution

The fourth proportional to 545.83, 753.20 and 324.75 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.83 : 753.20 = 324.75 : x
  2. Step 2: Convert to fraction form
    545.83/753.20 = 324.75/x
  3. Step 3: Cross multiply
    545.83x = 753.20 × 324.75
  4. Step 4: Simplify right side
    545.83x = 244,596.31
  5. Step 5: Solve for x
    x = 244,596.31/545.83
  6. Step 6: Final answer
    x = 448.12

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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.