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Finding the Fourth Proportional to 558.56, 837.12 and 233.60

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Solution

The fourth proportional to 558.56, 837.12 and 233.60 is: 350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.56 : 837.12 = 233.60 : x
  2. Step 2: Convert to fraction form
    558.56/837.12 = 233.60/x
  3. Step 3: Cross multiply
    558.56x = 837.12 × 233.60
  4. Step 4: Simplify right side
    558.56x = 195,551.23
  5. Step 5: Solve for x
    x = 195,551.23/558.56
  6. Step 6: Final answer
    x = 350.10

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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.