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Finding the Fourth Proportional to 588.25, 811.80 and 339.62

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Solution

The fourth proportional to 588.25, 811.80 and 339.62 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.25 : 811.80 = 339.62 : x
  2. Step 2: Convert to fraction form
    588.25/811.80 = 339.62/x
  3. Step 3: Cross multiply
    588.25x = 811.80 × 339.62
  4. Step 4: Simplify right side
    588.25x = 275,703.52
  5. Step 5: Solve for x
    x = 275,703.52/588.25
  6. Step 6: Final answer
    x = 468.68

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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.