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Finding the Fourth Proportional to 422.06, 581.10 and 370.28

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Solution

The fourth proportional to 422.06, 581.10 and 370.28 is: 509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 581.10 = 370.28 : x
  2. Step 2: Convert to fraction form
    422.06/581.10 = 370.28/x
  3. Step 3: Cross multiply
    422.06x = 581.10 × 370.28
  4. Step 4: Simplify right side
    422.06x = 215,169.71
  5. Step 5: Solve for x
    x = 215,169.71/422.06
  6. Step 6: Final answer
    x = 509.81

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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.