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Finding the Fourth Proportional to 482.22, 724.10 and 327.03

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Solution

The fourth proportional to 482.22, 724.10 and 327.03 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.22 : 724.10 = 327.03 : x
  2. Step 2: Convert to fraction form
    482.22/724.10 = 327.03/x
  3. Step 3: Cross multiply
    482.22x = 724.10 × 327.03
  4. Step 4: Simplify right side
    482.22x = 236,802.42
  5. Step 5: Solve for x
    x = 236,802.42/482.22
  6. Step 6: Final answer
    x = 491.07

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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.