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Finding the Fourth Proportional to 546.72, 754.72 and 422.08

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Solution

The fourth proportional to 546.72, 754.72 and 422.08 is: 582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.72 : 754.72 = 422.08 : x
  2. Step 2: Convert to fraction form
    546.72/754.72 = 422.08/x
  3. Step 3: Cross multiply
    546.72x = 754.72 × 422.08
  4. Step 4: Simplify right side
    546.72x = 318,552.22
  5. Step 5: Solve for x
    x = 318,552.22/546.72
  6. Step 6: Final answer
    x = 582.66

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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.