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Finding the Fourth Proportional to 413.94, 565.44 and 411.24

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Solution

The fourth proportional to 413.94, 565.44 and 411.24 is: 561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 565.44 = 411.24 : x
  2. Step 2: Convert to fraction form
    413.94/565.44 = 411.24/x
  3. Step 3: Cross multiply
    413.94x = 565.44 × 411.24
  4. Step 4: Simplify right side
    413.94x = 232,531.55
  5. Step 5: Solve for x
    x = 232,531.55/413.94
  6. Step 6: Final answer
    x = 561.75

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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.