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Finding the Fourth Proportional to 324.42, 447.70 and 177.06

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Solution

The fourth proportional to 324.42, 447.70 and 177.06 is: 244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 447.70 = 177.06 : x
  2. Step 2: Convert to fraction form
    324.42/447.70 = 177.06/x
  3. Step 3: Cross multiply
    324.42x = 447.70 × 177.06
  4. Step 4: Simplify right side
    324.42x = 79,266.64
  5. Step 5: Solve for x
    x = 79,266.64/324.42
  6. Step 6: Final answer
    x = 244.33

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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.