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Finding the Fourth Proportional to 357.49, 493.19 and 224.63

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Solution

The fourth proportional to 357.49, 493.19 and 224.63 is: 309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.49 : 493.19 = 224.63 : x
  2. Step 2: Convert to fraction form
    357.49/493.19 = 224.63/x
  3. Step 3: Cross multiply
    357.49x = 493.19 × 224.63
  4. Step 4: Simplify right side
    357.49x = 110,781.68
  5. Step 5: Solve for x
    x = 110,781.68/357.49
  6. Step 6: Final answer
    x = 309.89

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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.