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Finding the Fourth Proportional to 540.21, 745.77 and 343.83

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Solution

The fourth proportional to 540.21, 745.77 and 343.83 is: 474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.21 : 745.77 = 343.83 : x
  2. Step 2: Convert to fraction form
    540.21/745.77 = 343.83/x
  3. Step 3: Cross multiply
    540.21x = 745.77 × 343.83
  4. Step 4: Simplify right side
    540.21x = 256,418.10
  5. Step 5: Solve for x
    x = 256,418.10/540.21
  6. Step 6: Final answer
    x = 474.66

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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.