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Finding the Fourth Proportional to 422.32, 581.24 and 357.68

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Solution

The fourth proportional to 422.32, 581.24 and 357.68 is: 492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 581.24 = 357.68 : x
  2. Step 2: Convert to fraction form
    422.32/581.24 = 357.68/x
  3. Step 3: Cross multiply
    422.32x = 581.24 × 357.68
  4. Step 4: Simplify right side
    422.32x = 207,897.92
  5. Step 5: Solve for x
    x = 207,897.92/422.32
  6. Step 6: Final answer
    x = 492.28

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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.