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Finding the Fourth Proportional to 546.72, 754.38 and 360.24

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Solution

The fourth proportional to 546.72, 754.38 and 360.24 is: 497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.72 : 754.38 = 360.24 : x
  2. Step 2: Convert to fraction form
    546.72/754.38 = 360.24/x
  3. Step 3: Cross multiply
    546.72x = 754.38 × 360.24
  4. Step 4: Simplify right side
    546.72x = 271,757.85
  5. Step 5: Solve for x
    x = 271,757.85/546.72
  6. Step 6: Final answer
    x = 497.07

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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.