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Finding the Fourth Proportional to 322.32, 444.96 and 224.16

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Solution

The fourth proportional to 322.32, 444.96 and 224.16 is: 309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.32 : 444.96 = 224.16 : x
  2. Step 2: Convert to fraction form
    322.32/444.96 = 224.16/x
  3. Step 3: Cross multiply
    322.32x = 444.96 × 224.16
  4. Step 4: Simplify right side
    322.32x = 99,742.23
  5. Step 5: Solve for x
    x = 99,742.23/322.32
  6. Step 6: Final answer
    x = 309.45

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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.