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Finding the Fourth Proportional to 555.96, 766.98 and 319.85

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Solution

The fourth proportional to 555.96, 766.98 and 319.85 is: 441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 766.98 = 319.85 : x
  2. Step 2: Convert to fraction form
    555.96/766.98 = 319.85/x
  3. Step 3: Cross multiply
    555.96x = 766.98 × 319.85
  4. Step 4: Simplify right side
    555.96x = 245,321.91
  5. Step 5: Solve for x
    x = 245,321.91/555.96
  6. Step 6: Final answer
    x = 441.26

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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.