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Finding the Fourth Proportional to 886.72, 1,330.14 and 338.86

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Solution

The fourth proportional to 886.72, 1,330.14 and 338.86 is: 508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.72 : 1,330.14 = 338.86 : x
  2. Step 2: Convert to fraction form
    886.72/1,330.14 = 338.86/x
  3. Step 3: Cross multiply
    886.72x = 1,330.14 × 338.86
  4. Step 4: Simplify right side
    886.72x = 450,731.24
  5. Step 5: Solve for x
    x = 450,731.24/886.72
  6. Step 6: Final answer
    x = 508.31

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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.