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Finding the Fourth Proportional to 541.95, 747.87 and 309.06

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Solution

The fourth proportional to 541.95, 747.87 and 309.06 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.95 : 747.87 = 309.06 : x
  2. Step 2: Convert to fraction form
    541.95/747.87 = 309.06/x
  3. Step 3: Cross multiply
    541.95x = 747.87 × 309.06
  4. Step 4: Simplify right side
    541.95x = 231,136.70
  5. Step 5: Solve for x
    x = 231,136.70/541.95
  6. Step 6: Final answer
    x = 426.49

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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.