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Finding the Fourth Proportional to 306.32, 422.84 and 224.01

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Solution

The fourth proportional to 306.32, 422.84 and 224.01 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 422.84 = 224.01 : x
  2. Step 2: Convert to fraction form
    306.32/422.84 = 224.01/x
  3. Step 3: Cross multiply
    306.32x = 422.84 × 224.01
  4. Step 4: Simplify right side
    306.32x = 94,719.27
  5. Step 5: Solve for x
    x = 94,719.27/306.32
  6. Step 6: Final answer
    x = 309.22

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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.