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Finding the Fourth Proportional to 540.84, 746.37 and 422.96

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Solution

The fourth proportional to 540.84, 746.37 and 422.96 is: 583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 746.37 = 422.96 : x
  2. Step 2: Convert to fraction form
    540.84/746.37 = 422.96/x
  3. Step 3: Cross multiply
    540.84x = 746.37 × 422.96
  4. Step 4: Simplify right side
    540.84x = 315,680.92
  5. Step 5: Solve for x
    x = 315,680.92/540.84
  6. Step 6: Final answer
    x = 583.69

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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.