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Finding the Fourth Proportional to 540.24, 745.74 and 343.92

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Solution

The fourth proportional to 540.24, 745.74 and 343.92 is: 474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 745.74 = 343.92 : x
  2. Step 2: Convert to fraction form
    540.24/745.74 = 343.92/x
  3. Step 3: Cross multiply
    540.24x = 745.74 × 343.92
  4. Step 4: Simplify right side
    540.24x = 256,474.90
  5. Step 5: Solve for x
    x = 256,474.90/540.24
  6. Step 6: Final answer
    x = 474.74

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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.