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Finding the Fourth Proportional to 540.03, 745.00 and 343.41

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Solution

The fourth proportional to 540.03, 745.00 and 343.41 is: 473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.03 : 745.00 = 343.41 : x
  2. Step 2: Convert to fraction form
    540.03/745.00 = 343.41/x
  3. Step 3: Cross multiply
    540.03x = 745.00 × 343.41
  4. Step 4: Simplify right side
    540.03x = 255,836.80
  5. Step 5: Solve for x
    x = 255,836.80/540.03
  6. Step 6: Final answer
    x = 473.74

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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.