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Finding the Fourth Proportional to 588.39, 811.99 and 322.84

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Solution

The fourth proportional to 588.39, 811.99 and 322.84 is: 445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.39 : 811.99 = 322.84 : x
  2. Step 2: Convert to fraction form
    588.39/811.99 = 322.84/x
  3. Step 3: Cross multiply
    588.39x = 811.99 × 322.84
  4. Step 4: Simplify right side
    588.39x = 262,140.01
  5. Step 5: Solve for x
    x = 262,140.01/588.39
  6. Step 6: Final answer
    x = 445.52

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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.