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Finding the Fourth Proportional to 886.35, 1,329.53 and 309.09

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Solution

The fourth proportional to 886.35, 1,329.53 and 309.09 is: 463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.35 : 1,329.53 = 309.09 : x
  2. Step 2: Convert to fraction form
    886.35/1,329.53 = 309.09/x
  3. Step 3: Cross multiply
    886.35x = 1,329.53 × 309.09
  4. Step 4: Simplify right side
    886.35x = 410,942.88
  5. Step 5: Solve for x
    x = 410,942.88/886.35
  6. Step 6: Final answer
    x = 463.64

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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.