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Finding the Fourth Proportional to 558, 837.12 and 233.64

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Solution

The fourth proportional to 558, 837.12 and 233.64 is: 350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    558 : 837.12 = 233.64 : x
  2. Step 2: Convert to fraction form
    558/837.12 = 233.64/x
  3. Step 3: Cross multiply
    558x = 837.12 × 233.64
  4. Step 4: Simplify right side
    558x = 195,584.72
  5. Step 5: Solve for x
    x = 195,584.72/558
  6. Step 6: Final answer
    x = 350.51

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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.