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Finding the Fourth Proportional to 541.90, 747.85 and 309.02

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Solution

The fourth proportional to 541.90, 747.85 and 309.02 is: 426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.90 : 747.85 = 309.02 : x
  2. Step 2: Convert to fraction form
    541.90/747.85 = 309.02/x
  3. Step 3: Cross multiply
    541.90x = 747.85 × 309.02
  4. Step 4: Simplify right side
    541.90x = 231,100.61
  5. Step 5: Solve for x
    x = 231,100.61/541.90
  6. Step 6: Final answer
    x = 426.46

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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.