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Finding the Fourth Proportional to 413.12, 614.86 and 395.36

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Solution

The fourth proportional to 413.12, 614.86 and 395.36 is: 588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 614.86 = 395.36 : x
  2. Step 2: Convert to fraction form
    413.12/614.86 = 395.36/x
  3. Step 3: Cross multiply
    413.12x = 614.86 × 395.36
  4. Step 4: Simplify right side
    413.12x = 243,091.05
  5. Step 5: Solve for x
    x = 243,091.05/413.12
  6. Step 6: Final answer
    x = 588.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.