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Finding the Fourth Proportional to 587.45, 810.74 and 422.42

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Solution

The fourth proportional to 587.45, 810.74 and 422.42 is: 582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.45 : 810.74 = 422.42 : x
  2. Step 2: Convert to fraction form
    587.45/810.74 = 422.42/x
  3. Step 3: Cross multiply
    587.45x = 810.74 × 422.42
  4. Step 4: Simplify right side
    587.45x = 342,469.79
  5. Step 5: Solve for x
    x = 342,469.79/587.45
  6. Step 6: Final answer
    x = 582.97

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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.