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Finding the Fourth Proportional to 558.49, 837.39 and 266.08

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Solution

The fourth proportional to 558.49, 837.39 and 266.08 is: 398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.49 : 837.39 = 266.08 : x
  2. Step 2: Convert to fraction form
    558.49/837.39 = 266.08/x
  3. Step 3: Cross multiply
    558.49x = 837.39 × 266.08
  4. Step 4: Simplify right side
    558.49x = 222,808.54
  5. Step 5: Solve for x
    x = 222,808.54/558.49
  6. Step 6: Final answer
    x = 398.95

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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.