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Finding the Fourth Proportional to 541.06, 745.80 and 441.88

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Solution

The fourth proportional to 541.06, 745.80 and 441.88 is: 609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.06 : 745.80 = 441.88 : x
  2. Step 2: Convert to fraction form
    541.06/745.80 = 441.88/x
  3. Step 3: Cross multiply
    541.06x = 745.80 × 441.88
  4. Step 4: Simplify right side
    541.06x = 329,554.10
  5. Step 5: Solve for x
    x = 329,554.10/541.06
  6. Step 6: Final answer
    x = 609.09

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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.