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Finding the Fourth Proportional to 541.92, 746.70 and 366.96

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Solution

The fourth proportional to 541.92, 746.70 and 366.96 is: 505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.92 : 746.70 = 366.96 : x
  2. Step 2: Convert to fraction form
    541.92/746.70 = 366.96/x
  3. Step 3: Cross multiply
    541.92x = 746.70 × 366.96
  4. Step 4: Simplify right side
    541.92x = 274,009.03
  5. Step 5: Solve for x
    x = 274,009.03/541.92
  6. Step 6: Final answer
    x = 505.63

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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.