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Finding the Fourth Proportional to 888.90, 1,333.14 and 311.64

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Solution

The fourth proportional to 888.90, 1,333.14 and 311.64 is: 467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.90 : 1,333.14 = 311.64 : x
  2. Step 2: Convert to fraction form
    888.90/1,333.14 = 311.64/x
  3. Step 3: Cross multiply
    888.90x = 1,333.14 × 311.64
  4. Step 4: Simplify right side
    888.90x = 415,459.75
  5. Step 5: Solve for x
    x = 415,459.75/888.90
  6. Step 6: Final answer
    x = 467.39

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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.