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Finding the Fourth Proportional to 588.40, 811.32 and 422.08

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Solution

The fourth proportional to 588.40, 811.32 and 422.08 is: 581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.40 : 811.32 = 422.08 : x
  2. Step 2: Convert to fraction form
    588.40/811.32 = 422.08/x
  3. Step 3: Cross multiply
    588.40x = 811.32 × 422.08
  4. Step 4: Simplify right side
    588.40x = 342,441.95
  5. Step 5: Solve for x
    x = 342,441.95/588.40
  6. Step 6: Final answer
    x = 581.99

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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.