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Finding the Fourth Proportional to 581.74, 871.81 and 321.35

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Solution

The fourth proportional to 581.74, 871.81 and 321.35 is: 481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.74 : 871.81 = 321.35 : x
  2. Step 2: Convert to fraction form
    581.74/871.81 = 321.35/x
  3. Step 3: Cross multiply
    581.74x = 871.81 × 321.35
  4. Step 4: Simplify right side
    581.74x = 280,150.18
  5. Step 5: Solve for x
    x = 280,150.18/581.74
  6. Step 6: Final answer
    x = 481.58

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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.