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Finding the Fourth Proportional to 483.48, 666.96 and 306.14

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Solution

The fourth proportional to 483.48, 666.96 and 306.14 is: 422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.48 : 666.96 = 306.14 : x
  2. Step 2: Convert to fraction form
    483.48/666.96 = 306.14/x
  3. Step 3: Cross multiply
    483.48x = 666.96 × 306.14
  4. Step 4: Simplify right side
    483.48x = 204,181.60
  5. Step 5: Solve for x
    x = 204,181.60/483.48
  6. Step 6: Final answer
    x = 422.32

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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.