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Finding the Fourth Proportional to 357.68, 493.40 and 217.76

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Solution

The fourth proportional to 357.68, 493.40 and 217.76 is: 300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.68 : 493.40 = 217.76 : x
  2. Step 2: Convert to fraction form
    357.68/493.40 = 217.76/x
  3. Step 3: Cross multiply
    357.68x = 493.40 × 217.76
  4. Step 4: Simplify right side
    357.68x = 107,440.86
  5. Step 5: Solve for x
    x = 107,440.86/357.68
  6. Step 6: Final answer
    x = 300.38

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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.