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Finding the Fourth Proportional to 541.05, 745.87 and 385.53

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Solution

The fourth proportional to 541.05, 745.87 and 385.53 is: 531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.05 : 745.87 = 385.53 : x
  2. Step 2: Convert to fraction form
    541.05/745.87 = 385.53/x
  3. Step 3: Cross multiply
    541.05x = 745.87 × 385.53
  4. Step 4: Simplify right side
    541.05x = 287,555.26
  5. Step 5: Solve for x
    x = 287,555.26/541.05
  6. Step 6: Final answer
    x = 531.48

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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.