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Finding the Fourth Proportional to 541.94, 748.48 and 366.98

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Solution

The fourth proportional to 541.94, 748.48 and 366.98 is: 506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 748.48 = 366.98 : x
  2. Step 2: Convert to fraction form
    541.94/748.48 = 366.98/x
  3. Step 3: Cross multiply
    541.94x = 748.48 × 366.98
  4. Step 4: Simplify right side
    541.94x = 274,676.24
  5. Step 5: Solve for x
    x = 274,676.24/541.94
  6. Step 6: Final answer
    x = 506.84

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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.