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Finding the Fourth Proportional to 541.10, 746.67 and 320.05

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Solution

The fourth proportional to 541.10, 746.67 and 320.05 is: 441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.10 : 746.67 = 320.05 : x
  2. Step 2: Convert to fraction form
    541.10/746.67 = 320.05/x
  3. Step 3: Cross multiply
    541.10x = 746.67 × 320.05
  4. Step 4: Simplify right side
    541.10x = 238,971.73
  5. Step 5: Solve for x
    x = 238,971.73/541.10
  6. Step 6: Final answer
    x = 441.64

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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.