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Finding the Fourth Proportional to 541.22, 746.96 and 345.06

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Solution

The fourth proportional to 541.22, 746.96 and 345.06 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.22 : 746.96 = 345.06 : x
  2. Step 2: Convert to fraction form
    541.22/746.96 = 345.06/x
  3. Step 3: Cross multiply
    541.22x = 746.96 × 345.06
  4. Step 4: Simplify right side
    541.22x = 257,744.29
  5. Step 5: Solve for x
    x = 257,744.29/541.22
  6. Step 6: Final answer
    x = 476.23

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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.