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Finding the Fourth Proportional to 540.15, 745.62 and 343.77

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Solution

The fourth proportional to 540.15, 745.62 and 343.77 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.15 : 745.62 = 343.77 : x
  2. Step 2: Convert to fraction form
    540.15/745.62 = 343.77/x
  3. Step 3: Cross multiply
    540.15x = 745.62 × 343.77
  4. Step 4: Simplify right side
    540.15x = 256,321.79
  5. Step 5: Solve for x
    x = 256,321.79/540.15
  6. Step 6: Final answer
    x = 474.54

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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.