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Finding the Fourth Proportional to 557.27, 833.97 and 337.76

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Solution

The fourth proportional to 557.27, 833.97 and 337.76 is: 505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.27 : 833.97 = 337.76 : x
  2. Step 2: Convert to fraction form
    557.27/833.97 = 337.76/x
  3. Step 3: Cross multiply
    557.27x = 833.97 × 337.76
  4. Step 4: Simplify right side
    557.27x = 281,677.54
  5. Step 5: Solve for x
    x = 281,677.54/557.27
  6. Step 6: Final answer
    x = 505.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.