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Finding the Fourth Proportional to 595.57, 892.67 and 321.09

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Solution

The fourth proportional to 595.57, 892.67 and 321.09 is: 481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.57 : 892.67 = 321.09 : x
  2. Step 2: Convert to fraction form
    595.57/892.67 = 321.09/x
  3. Step 3: Cross multiply
    595.57x = 892.67 × 321.09
  4. Step 4: Simplify right side
    595.57x = 286,627.41
  5. Step 5: Solve for x
    x = 286,627.41/595.57
  6. Step 6: Final answer
    x = 481.27

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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.