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Finding the Fourth Proportional to 483.18, 666.84 and 306.24

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Solution

The fourth proportional to 483.18, 666.84 and 306.24 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.18 : 666.84 = 306.24 : x
  2. Step 2: Convert to fraction form
    483.18/666.84 = 306.24/x
  3. Step 3: Cross multiply
    483.18x = 666.84 × 306.24
  4. Step 4: Simplify right side
    483.18x = 204,213.08
  5. Step 5: Solve for x
    x = 204,213.08/483.18
  6. Step 6: Final answer
    x = 422.64

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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.