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Finding the Fourth Proportional to 558.41, 838.29 and 327.41

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Solution

The fourth proportional to 558.41, 838.29 and 327.41 is: 491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.41 : 838.29 = 327.41 : x
  2. Step 2: Convert to fraction form
    558.41/838.29 = 327.41/x
  3. Step 3: Cross multiply
    558.41x = 838.29 × 327.41
  4. Step 4: Simplify right side
    558.41x = 274,460.34
  5. Step 5: Solve for x
    x = 274,460.34/558.41
  6. Step 6: Final answer
    x = 491.51

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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.