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Finding the Fourth Proportional to 426.27, 636.29 and 365.79

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Solution

The fourth proportional to 426.27, 636.29 and 365.79 is: 546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.27 : 636.29 = 365.79 : x
  2. Step 2: Convert to fraction form
    426.27/636.29 = 365.79/x
  3. Step 3: Cross multiply
    426.27x = 636.29 × 365.79
  4. Step 4: Simplify right side
    426.27x = 232,749.43
  5. Step 5: Solve for x
    x = 232,749.43/426.27
  6. Step 6: Final answer
    x = 546.01

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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.