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Finding the Fourth Proportional to 357.97, 493.77 and 247.24

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Solution

The fourth proportional to 357.97, 493.77 and 247.24 is: 341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.97 : 493.77 = 247.24 : x
  2. Step 2: Convert to fraction form
    357.97/493.77 = 247.24/x
  3. Step 3: Cross multiply
    357.97x = 493.77 × 247.24
  4. Step 4: Simplify right side
    357.97x = 122,079.69
  5. Step 5: Solve for x
    x = 122,079.69/357.97
  6. Step 6: Final answer
    x = 341.03

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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.