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Finding the Fourth Proportional to 322.09, 444.16 and 259.72

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Solution

The fourth proportional to 322.09, 444.16 and 259.72 is: 358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.09 : 444.16 = 259.72 : x
  2. Step 2: Convert to fraction form
    322.09/444.16 = 259.72/x
  3. Step 3: Cross multiply
    322.09x = 444.16 × 259.72
  4. Step 4: Simplify right side
    322.09x = 115,357.24
  5. Step 5: Solve for x
    x = 115,357.24/322.09
  6. Step 6: Final answer
    x = 358.15

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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.