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Finding the Fourth Proportional to 357.78, 493.38 and 233.40

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Solution

The fourth proportional to 357.78, 493.38 and 233.40 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.78 : 493.38 = 233.40 : x
  2. Step 2: Convert to fraction form
    357.78/493.38 = 233.40/x
  3. Step 3: Cross multiply
    357.78x = 493.38 × 233.40
  4. Step 4: Simplify right side
    357.78x = 115,154.89
  5. Step 5: Solve for x
    x = 115,154.89/357.78
  6. Step 6: Final answer
    x = 321.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.