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Finding the Fourth Proportional to 546.06, 753.23 and 324.87

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Solution

The fourth proportional to 546.06, 753.23 and 324.87 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.06 : 753.23 = 324.87 : x
  2. Step 2: Convert to fraction form
    546.06/753.23 = 324.87/x
  3. Step 3: Cross multiply
    546.06x = 753.23 × 324.87
  4. Step 4: Simplify right side
    546.06x = 244,701.83
  5. Step 5: Solve for x
    x = 244,701.83/546.06
  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.