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Finding the Fourth Proportional to 886.86, 1,330.38 and 339.50

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Solution

The fourth proportional to 886.86, 1,330.38 and 339.50 is: 509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.86 : 1,330.38 = 339.50 : x
  2. Step 2: Convert to fraction form
    886.86/1,330.38 = 339.50/x
  3. Step 3: Cross multiply
    886.86x = 1,330.38 × 339.50
  4. Step 4: Simplify right side
    886.86x = 451,662.31
  5. Step 5: Solve for x
    x = 451,662.31/886.86
  6. Step 6: Final answer
    x = 509.29

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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.