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Finding the Fourth Proportional to 415.39, 569.77 and 411.95

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Solution

The fourth proportional to 415.39, 569.77 and 411.95 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.39 : 569.77 = 411.95 : x
  2. Step 2: Convert to fraction form
    415.39/569.77 = 411.95/x
  3. Step 3: Cross multiply
    415.39x = 569.77 × 411.95
  4. Step 4: Simplify right side
    415.39x = 234,716.75
  5. Step 5: Solve for x
    x = 234,716.75/415.39
  6. Step 6: Final answer
    x = 565.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.