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Finding the Fourth Proportional to 541.38, 746.90 and 308.38

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Solution

The fourth proportional to 541.38, 746.90 and 308.38 is: 425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.38 : 746.90 = 308.38 : x
  2. Step 2: Convert to fraction form
    541.38/746.90 = 308.38/x
  3. Step 3: Cross multiply
    541.38x = 746.90 × 308.38
  4. Step 4: Simplify right side
    541.38x = 230,329.02
  5. Step 5: Solve for x
    x = 230,329.02/541.38
  6. Step 6: Final answer
    x = 425.45

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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.