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Finding the Fourth Proportional to 585.93, 880.87 and 413.83

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Solution

The fourth proportional to 585.93, 880.87 and 413.83 is: 622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 880.87 = 413.83 : x
  2. Step 2: Convert to fraction form
    585.93/880.87 = 413.83/x
  3. Step 3: Cross multiply
    585.93x = 880.87 × 413.83
  4. Step 4: Simplify right side
    585.93x = 364,530.43
  5. Step 5: Solve for x
    x = 364,530.43/585.93
  6. Step 6: Final answer
    x = 622.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.