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Finding the Fourth Proportional to 588.74, 811.58 and 422.67

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Solution

The fourth proportional to 588.74, 811.58 and 422.67 is: 582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.74 : 811.58 = 422.67 : x
  2. Step 2: Convert to fraction form
    588.74/811.58 = 422.67/x
  3. Step 3: Cross multiply
    588.74x = 811.58 × 422.67
  4. Step 4: Simplify right side
    588.74x = 343,029.86
  5. Step 5: Solve for x
    x = 343,029.86/588.74
  6. Step 6: Final answer
    x = 582.65

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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.