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Finding the Fourth Proportional to 541.22, 807.33 and 475.61

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Solution

The fourth proportional to 541.22, 807.33 and 475.61 is: 709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.22 : 807.33 = 475.61 : x
  2. Step 2: Convert to fraction form
    541.22/807.33 = 475.61/x
  3. Step 3: Cross multiply
    541.22x = 807.33 × 475.61
  4. Step 4: Simplify right side
    541.22x = 383,971.97
  5. Step 5: Solve for x
    x = 383,971.97/541.22
  6. Step 6: Final answer
    x = 709.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.