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Finding the Fourth Proportional to 557.02, 768.75 and 335.97

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Solution

The fourth proportional to 557.02, 768.75 and 335.97 is: 463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 768.75 = 335.97 : x
  2. Step 2: Convert to fraction form
    557.02/768.75 = 335.97/x
  3. Step 3: Cross multiply
    557.02x = 768.75 × 335.97
  4. Step 4: Simplify right side
    557.02x = 258,276.94
  5. Step 5: Solve for x
    x = 258,276.94/557.02
  6. Step 6: Final answer
    x = 463.68

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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.