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Finding the Fourth Proportional to 541.22, 746.79 and 320.15

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Solution

The fourth proportional to 541.22, 746.79 and 320.15 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.22 : 746.79 = 320.15 : x
  2. Step 2: Convert to fraction form
    541.22/746.79 = 320.15/x
  3. Step 3: Cross multiply
    541.22x = 746.79 × 320.15
  4. Step 4: Simplify right side
    541.22x = 239,081.08
  5. Step 5: Solve for x
    x = 239,081.08/541.22
  6. Step 6: Final answer
    x = 441.75

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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.