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Finding the Fourth Proportional to 886.37, 1,329.76 and 338.54

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Solution

The fourth proportional to 886.37, 1,329.76 and 338.54 is: 507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.37 : 1,329.76 = 338.54 : x
  2. Step 2: Convert to fraction form
    886.37/1,329.76 = 338.54/x
  3. Step 3: Cross multiply
    886.37x = 1,329.76 × 338.54
  4. Step 4: Simplify right side
    886.37x = 450,176.95
  5. Step 5: Solve for x
    x = 450,176.95/886.37
  6. Step 6: Final answer
    x = 507.89

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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.