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Finding the Fourth Proportional to 397.20, 547.66 and 309.02

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Solution

The fourth proportional to 397.20, 547.66 and 309.02 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 547.66 = 309.02 : x
  2. Step 2: Convert to fraction form
    397.20/547.66 = 309.02/x
  3. Step 3: Cross multiply
    397.20x = 547.66 × 309.02
  4. Step 4: Simplify right side
    397.20x = 169,235.54
  5. Step 5: Solve for x
    x = 169,235.54/397.20
  6. Step 6: Final answer
    x = 426.07

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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.