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Finding the Fourth Proportional to 885.39, 1,327 and 397.44

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Solution

The fourth proportional to 885.39, 1,327 and 397.44 is: 595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.39 : 1,327 = 397.44 : x
  2. Step 2: Convert to fraction form
    885.39/1,327 = 397.44/x
  3. Step 3: Cross multiply
    885.39x = 1,327 × 397.44
  4. Step 4: Simplify right side
    885.39x = 527,402.88
  5. Step 5: Solve for x
    x = 527,402.88/885.39
  6. Step 6: Final answer
    x = 595.67

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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.