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Finding the Fourth Proportional to 557.96, 837.41 and 233.42

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Solution

The fourth proportional to 557.96, 837.41 and 233.42 is: 350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 837.41 = 233.42 : x
  2. Step 2: Convert to fraction form
    557.96/837.41 = 233.42/x
  3. Step 3: Cross multiply
    557.96x = 837.41 × 233.42
  4. Step 4: Simplify right side
    557.96x = 195,462.89
  5. Step 5: Solve for x
    x = 195,462.89/557.96
  6. Step 6: Final answer
    x = 350.32

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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.