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Finding the Fourth Proportional to 557.17, 768.47 and 360.34

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Solution

The fourth proportional to 557.17, 768.47 and 360.34 is: 496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.17 : 768.47 = 360.34 : x
  2. Step 2: Convert to fraction form
    557.17/768.47 = 360.34/x
  3. Step 3: Cross multiply
    557.17x = 768.47 × 360.34
  4. Step 4: Simplify right side
    557.17x = 276,906.76
  5. Step 5: Solve for x
    x = 276,906.76/557.17
  6. Step 6: Final answer
    x = 496.99

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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.