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Finding the Fourth Proportional to 558.26, 838.04 and 327.32

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Solution

The fourth proportional to 558.26, 838.04 and 327.32 is: 491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.26 : 838.04 = 327.32 : x
  2. Step 2: Convert to fraction form
    558.26/838.04 = 327.32/x
  3. Step 3: Cross multiply
    558.26x = 838.04 × 327.32
  4. Step 4: Simplify right side
    558.26x = 274,307.25
  5. Step 5: Solve for x
    x = 274,307.25/558.26
  6. Step 6: Final answer
    x = 491.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.