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Finding the Fourth Proportional to 558.32, 837.20 and 233.60

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Solution

The fourth proportional to 558.32, 837.20 and 233.60 is: 350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.32 : 837.20 = 233.60 : x
  2. Step 2: Convert to fraction form
    558.32/837.20 = 233.60/x
  3. Step 3: Cross multiply
    558.32x = 837.20 × 233.60
  4. Step 4: Simplify right side
    558.32x = 195,569.92
  5. Step 5: Solve for x
    x = 195,569.92/558.32
  6. Step 6: Final answer
    x = 350.28

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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.