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Finding the Fourth Proportional to 555.18, 766.83 and 415.92

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Solution

The fourth proportional to 555.18, 766.83 and 415.92 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.18 : 766.83 = 415.92 : x
  2. Step 2: Convert to fraction form
    555.18/766.83 = 415.92/x
  3. Step 3: Cross multiply
    555.18x = 766.83 × 415.92
  4. Step 4: Simplify right side
    555.18x = 318,939.93
  5. Step 5: Solve for x
    x = 318,939.93/555.18
  6. Step 6: Final answer
    x = 574.48

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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.