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Finding the Fourth Proportional to 541.89, 747.83 and 309

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Solution

The fourth proportional to 541.89, 747.83 and 309 is: 426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.89 : 747.83 = 309 : x
  2. Step 2: Convert to fraction form
    541.89/747.83 = 309/x
  3. Step 3: Cross multiply
    541.89x = 747.83 × 309
  4. Step 4: Simplify right side
    541.89x = 231,077.93
  5. Step 5: Solve for x
    x = 231,077.93/541.89
  6. Step 6: Final answer
    x = 426.43

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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.