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Finding the Fourth Proportional to 546.55, 753.72 and 422.01

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Solution

The fourth proportional to 546.55, 753.72 and 422.01 is: 581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.55 : 753.72 = 422.01 : x
  2. Step 2: Convert to fraction form
    546.55/753.72 = 422.01/x
  3. Step 3: Cross multiply
    546.55x = 753.72 × 422.01
  4. Step 4: Simplify right side
    546.55x = 318,077.38
  5. Step 5: Solve for x
    x = 318,077.38/546.55
  6. Step 6: Final answer
    x = 581.97

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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.