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Finding the Fourth Proportional to 324.05, 448.16 and 279.83

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Solution

The fourth proportional to 324.05, 448.16 and 279.83 is: 387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.05 : 448.16 = 279.83 : x
  2. Step 2: Convert to fraction form
    324.05/448.16 = 279.83/x
  3. Step 3: Cross multiply
    324.05x = 448.16 × 279.83
  4. Step 4: Simplify right side
    324.05x = 125,408.61
  5. Step 5: Solve for x
    x = 125,408.61/324.05
  6. Step 6: Final answer
    x = 387.00

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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.