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Finding the Fourth Proportional to 426.28, 587.49 and 309.64

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Solution

The fourth proportional to 426.28, 587.49 and 309.64 is: 426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.28 : 587.49 = 309.64 : x
  2. Step 2: Convert to fraction form
    426.28/587.49 = 309.64/x
  3. Step 3: Cross multiply
    426.28x = 587.49 × 309.64
  4. Step 4: Simplify right side
    426.28x = 181,910.40
  5. Step 5: Solve for x
    x = 181,910.40/426.28
  6. Step 6: Final answer
    x = 426.74

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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.