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Finding the Fourth Proportional to 588.25, 811.84 and 339.63

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Solution

The fourth proportional to 588.25, 811.84 and 339.63 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.25 : 811.84 = 339.63 : x
  2. Step 2: Convert to fraction form
    588.25/811.84 = 339.63/x
  3. Step 3: Cross multiply
    588.25x = 811.84 × 339.63
  4. Step 4: Simplify right side
    588.25x = 275,725.22
  5. Step 5: Solve for x
    x = 275,725.22/588.25
  6. Step 6: Final answer
    x = 468.72

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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.