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Finding the Fourth Proportional to 357.43, 493.50 and 224.71

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Solution

The fourth proportional to 357.43, 493.50 and 224.71 is: 310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.43 : 493.50 = 224.71 : x
  2. Step 2: Convert to fraction form
    357.43/493.50 = 224.71/x
  3. Step 3: Cross multiply
    357.43x = 493.50 × 224.71
  4. Step 4: Simplify right side
    357.43x = 110,894.39
  5. Step 5: Solve for x
    x = 110,894.39/357.43
  6. Step 6: Final answer
    x = 310.25

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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.