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Finding the Fourth Proportional to 540.70, 745.95 and 375.05

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Solution

The fourth proportional to 540.70, 745.95 and 375.05 is: 517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.70 : 745.95 = 375.05 : x
  2. Step 2: Convert to fraction form
    540.70/745.95 = 375.05/x
  3. Step 3: Cross multiply
    540.70x = 745.95 × 375.05
  4. Step 4: Simplify right side
    540.70x = 279,768.55
  5. Step 5: Solve for x
    x = 279,768.55/540.70
  6. Step 6: Final answer
    x = 517.42

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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.