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Finding the Fourth Proportional to 324.76, 487.64 and 203.80

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Solution

The fourth proportional to 324.76, 487.64 and 203.80 is: 306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 487.64 = 203.80 : x
  2. Step 2: Convert to fraction form
    324.76/487.64 = 203.80/x
  3. Step 3: Cross multiply
    324.76x = 487.64 × 203.80
  4. Step 4: Simplify right side
    324.76x = 99,381.03
  5. Step 5: Solve for x
    x = 99,381.03/324.76
  6. Step 6: Final answer
    x = 306.01

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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.