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Finding the Fourth Proportional to 886.14, 1,328.40 and 308.64

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Solution

The fourth proportional to 886.14, 1,328.40 and 308.64 is: 462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.14 : 1,328.40 = 308.64 : x
  2. Step 2: Convert to fraction form
    886.14/1,328.40 = 308.64/x
  3. Step 3: Cross multiply
    886.14x = 1,328.40 × 308.64
  4. Step 4: Simplify right side
    886.14x = 409,997.38
  5. Step 5: Solve for x
    x = 409,997.38/886.14
  6. Step 6: Final answer
    x = 462.68

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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.