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Finding the Fourth Proportional to 324.27, 484.92 and 237.06

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Solution

The fourth proportional to 324.27, 484.92 and 237.06 is: 354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.27 : 484.92 = 237.06 : x
  2. Step 2: Convert to fraction form
    324.27/484.92 = 237.06/x
  3. Step 3: Cross multiply
    324.27x = 484.92 × 237.06
  4. Step 4: Simplify right side
    324.27x = 114,955.14
  5. Step 5: Solve for x
    x = 114,955.14/324.27
  6. Step 6: Final answer
    x = 354.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.