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Finding the Fourth Proportional to 422, 581.78 and 297.80

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Solution

The fourth proportional to 422, 581.78 and 297.80 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 581.78 = 297.80 : x
  2. Step 2: Convert to fraction form
    422/581.78 = 297.80/x
  3. Step 3: Cross multiply
    422x = 581.78 × 297.80
  4. Step 4: Simplify right side
    422x = 173,254.08
  5. Step 5: Solve for x
    x = 173,254.08/422
  6. Step 6: Final answer
    x = 410.55

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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.