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Finding the Fourth Proportional to 541.24, 747.06 and 320.20

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Solution

The fourth proportional to 541.24, 747.06 and 320.20 is: 441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.24 : 747.06 = 320.20 : x
  2. Step 2: Convert to fraction form
    541.24/747.06 = 320.20/x
  3. Step 3: Cross multiply
    541.24x = 747.06 × 320.20
  4. Step 4: Simplify right side
    541.24x = 239,208.61
  5. Step 5: Solve for x
    x = 239,208.61/541.24
  6. Step 6: Final answer
    x = 441.96

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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.