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Finding the Fourth Proportional to 557.10, 768.82 and 360.96

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Solution

The fourth proportional to 557.10, 768.82 and 360.96 is: 498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.10 : 768.82 = 360.96 : x
  2. Step 2: Convert to fraction form
    557.10/768.82 = 360.96/x
  3. Step 3: Cross multiply
    557.10x = 768.82 × 360.96
  4. Step 4: Simplify right side
    557.10x = 277,507.62
  5. Step 5: Solve for x
    x = 277,507.62/557.10
  6. Step 6: Final answer
    x = 498.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.