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Finding the Fourth Proportional to 558.82, 771.08 and 322.71

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Solution

The fourth proportional to 558.82, 771.08 and 322.71 is: 445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.82 : 771.08 = 322.71 : x
  2. Step 2: Convert to fraction form
    558.82/771.08 = 322.71/x
  3. Step 3: Cross multiply
    558.82x = 771.08 × 322.71
  4. Step 4: Simplify right side
    558.82x = 248,835.54
  5. Step 5: Solve for x
    x = 248,835.54/558.82
  6. Step 6: Final answer
    x = 445.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.