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Finding the Fourth Proportional to 482.68, 666.30 and 323.20

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Solution

The fourth proportional to 482.68, 666.30 and 323.20 is: 446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.68 : 666.30 = 323.20 : x
  2. Step 2: Convert to fraction form
    482.68/666.30 = 323.20/x
  3. Step 3: Cross multiply
    482.68x = 666.30 × 323.20
  4. Step 4: Simplify right side
    482.68x = 215,348.16
  5. Step 5: Solve for x
    x = 215,348.16/482.68
  6. Step 6: Final answer
    x = 446.15

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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.