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Finding the Fourth Proportional to 541.18, 746.89 and 342.06

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Solution

The fourth proportional to 541.18, 746.89 and 342.06 is: 472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.18 : 746.89 = 342.06 : x
  2. Step 2: Convert to fraction form
    541.18/746.89 = 342.06/x
  3. Step 3: Cross multiply
    541.18x = 746.89 × 342.06
  4. Step 4: Simplify right side
    541.18x = 255,477.54
  5. Step 5: Solve for x
    x = 255,477.54/541.18
  6. Step 6: Final answer
    x = 472.07

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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.