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Finding the Fourth Proportional to 541.48, 746.38 and 366.52

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Solution

The fourth proportional to 541.48, 746.38 and 366.52 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.48 : 746.38 = 366.52 : x
  2. Step 2: Convert to fraction form
    541.48/746.38 = 366.52/x
  3. Step 3: Cross multiply
    541.48x = 746.38 × 366.52
  4. Step 4: Simplify right side
    541.48x = 273,563.20
  5. Step 5: Solve for x
    x = 273,563.20/541.48
  6. Step 6: Final answer
    x = 505.21

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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.