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Finding the Fourth Proportional to 541.48, 746.84 and 344.81

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Solution

The fourth proportional to 541.48, 746.84 and 344.81 is: 475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.48 : 746.84 = 344.81 : x
  2. Step 2: Convert to fraction form
    541.48/746.84 = 344.81/x
  3. Step 3: Cross multiply
    541.48x = 746.84 × 344.81
  4. Step 4: Simplify right side
    541.48x = 257,516.18
  5. Step 5: Solve for x
    x = 257,516.18/541.48
  6. Step 6: Final answer
    x = 475.58

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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.