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Finding the Fourth Proportional to 557.41, 769.85 and 380.06

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Solution

The fourth proportional to 557.41, 769.85 and 380.06 is: 524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.41 : 769.85 = 380.06 : x
  2. Step 2: Convert to fraction form
    557.41/769.85 = 380.06/x
  3. Step 3: Cross multiply
    557.41x = 769.85 × 380.06
  4. Step 4: Simplify right side
    557.41x = 292,591.12
  5. Step 5: Solve for x
    x = 292,591.12/557.41
  6. Step 6: Final answer
    x = 524.92

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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.