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Finding the Fourth Proportional to 541.40, 746.94 and 320.24

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Solution

The fourth proportional to 541.40, 746.94 and 320.24 is: 441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 746.94 = 320.24 : x
  2. Step 2: Convert to fraction form
    541.40/746.94 = 320.24/x
  3. Step 3: Cross multiply
    541.40x = 746.94 × 320.24
  4. Step 4: Simplify right side
    541.40x = 239,200.07
  5. Step 5: Solve for x
    x = 239,200.07/541.40
  6. Step 6: Final answer
    x = 441.82

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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.