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Finding the Fourth Proportional to 557.23, 768.47 and 357.83

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Solution

The fourth proportional to 557.23, 768.47 and 357.83 is: 493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.23 : 768.47 = 357.83 : x
  2. Step 2: Convert to fraction form
    557.23/768.47 = 357.83/x
  3. Step 3: Cross multiply
    557.23x = 768.47 × 357.83
  4. Step 4: Simplify right side
    557.23x = 274,981.62
  5. Step 5: Solve for x
    x = 274,981.62/557.23
  6. Step 6: Final answer
    x = 493.48

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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.