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Finding the Fourth Proportional to 426.27, 588.69 and 339.60

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Solution

The fourth proportional to 426.27, 588.69 and 339.60 is: 469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.27 : 588.69 = 339.60 : x
  2. Step 2: Convert to fraction form
    426.27/588.69 = 339.60/x
  3. Step 3: Cross multiply
    426.27x = 588.69 × 339.60
  4. Step 4: Simplify right side
    426.27x = 199,919.12
  5. Step 5: Solve for x
    x = 199,919.12/426.27
  6. Step 6: Final answer
    x = 469.00

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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.