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Finding the Fourth Proportional to 426.62, 588.25 and 364.34

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Solution

The fourth proportional to 426.62, 588.25 and 364.34 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.62 : 588.25 = 364.34 : x
  2. Step 2: Convert to fraction form
    426.62/588.25 = 364.34/x
  3. Step 3: Cross multiply
    426.62x = 588.25 × 364.34
  4. Step 4: Simplify right side
    426.62x = 214,323.01
  5. Step 5: Solve for x
    x = 214,323.01/426.62
  6. Step 6: Final answer
    x = 502.37

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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.