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Finding the Fourth Proportional to 555.93, 766.31 and 380.97

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Solution

The fourth proportional to 555.93, 766.31 and 380.97 is: 525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.93 : 766.31 = 380.97 : x
  2. Step 2: Convert to fraction form
    555.93/766.31 = 380.97/x
  3. Step 3: Cross multiply
    555.93x = 766.31 × 380.97
  4. Step 4: Simplify right side
    555.93x = 291,941.12
  5. Step 5: Solve for x
    x = 291,941.12/555.93
  6. Step 6: Final answer
    x = 525.14

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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.