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Finding the Fourth Proportional to 555.73, 766.14 and 380.77

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Solution

The fourth proportional to 555.73, 766.14 and 380.77 is: 524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.73 : 766.14 = 380.77 : x
  2. Step 2: Convert to fraction form
    555.73/766.14 = 380.77/x
  3. Step 3: Cross multiply
    555.73x = 766.14 × 380.77
  4. Step 4: Simplify right side
    555.73x = 291,723.13
  5. Step 5: Solve for x
    x = 291,723.13/555.73
  6. Step 6: Final answer
    x = 524.94

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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.