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Finding the Fourth Proportional to 411.69, 568.59 and 319.55

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Solution

The fourth proportional to 411.69, 568.59 and 319.55 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.69 : 568.59 = 319.55 : x
  2. Step 2: Convert to fraction form
    411.69/568.59 = 319.55/x
  3. Step 3: Cross multiply
    411.69x = 568.59 × 319.55
  4. Step 4: Simplify right side
    411.69x = 181,692.93
  5. Step 5: Solve for x
    x = 181,692.93/411.69
  6. Step 6: Final answer
    x = 441.33

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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.