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Finding the Fourth Proportional to 324.63, 487.29 and 162.66

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Solution

The fourth proportional to 324.63, 487.29 and 162.66 is: 244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.63 : 487.29 = 162.66 : x
  2. Step 2: Convert to fraction form
    324.63/487.29 = 162.66/x
  3. Step 3: Cross multiply
    324.63x = 487.29 × 162.66
  4. Step 4: Simplify right side
    324.63x = 79,261.83
  5. Step 5: Solve for x
    x = 79,261.83/324.63
  6. Step 6: Final answer
    x = 244.16

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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.