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Finding the Fourth Proportional to 558.52, 837.02 and 266.16

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Solution

The fourth proportional to 558.52, 837.02 and 266.16 is: 398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.52 : 837.02 = 266.16 : x
  2. Step 2: Convert to fraction form
    558.52/837.02 = 266.16/x
  3. Step 3: Cross multiply
    558.52x = 837.02 × 266.16
  4. Step 4: Simplify right side
    558.52x = 222,781.24
  5. Step 5: Solve for x
    x = 222,781.24/558.52
  6. Step 6: Final answer
    x = 398.88

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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.