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Finding the Fourth Proportional to 413.82, 570.74 and 363.92

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Solution

The fourth proportional to 413.82, 570.74 and 363.92 is: 501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 570.74 = 363.92 : x
  2. Step 2: Convert to fraction form
    413.82/570.74 = 363.92/x
  3. Step 3: Cross multiply
    413.82x = 570.74 × 363.92
  4. Step 4: Simplify right side
    413.82x = 207,701.51
  5. Step 5: Solve for x
    x = 207,701.51/413.82
  6. Step 6: Final answer
    x = 501.91

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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.