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Finding the Fourth Proportional to 541.06, 746.73 and 416.62

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Solution

The fourth proportional to 541.06, 746.73 and 416.62 is: 574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.06 : 746.73 = 416.62 : x
  2. Step 2: Convert to fraction form
    541.06/746.73 = 416.62/x
  3. Step 3: Cross multiply
    541.06x = 746.73 × 416.62
  4. Step 4: Simplify right side
    541.06x = 311,102.65
  5. Step 5: Solve for x
    x = 311,102.65/541.06
  6. Step 6: Final answer
    x = 574.99

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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.