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Finding the Fourth Proportional to 587.86, 811.43 and 413.71

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Solution

The fourth proportional to 587.86, 811.43 and 413.71 is: 571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.86 : 811.43 = 413.71 : x
  2. Step 2: Convert to fraction form
    587.86/811.43 = 413.71/x
  3. Step 3: Cross multiply
    587.86x = 811.43 × 413.71
  4. Step 4: Simplify right side
    587.86x = 335,696.71
  5. Step 5: Solve for x
    x = 335,696.71/587.86
  6. Step 6: Final answer
    x = 571.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.