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Finding the Fourth Proportional to 493.96, 742.38 and 237.64

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Solution

The fourth proportional to 493.96, 742.38 and 237.64 is: 357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.96 : 742.38 = 237.64 : x
  2. Step 2: Convert to fraction form
    493.96/742.38 = 237.64/x
  3. Step 3: Cross multiply
    493.96x = 742.38 × 237.64
  4. Step 4: Simplify right side
    493.96x = 176,419.18
  5. Step 5: Solve for x
    x = 176,419.18/493.96
  6. Step 6: Final answer
    x = 357.15

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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.