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Finding the Fourth Proportional to 413.51, 569.23 and 357.92

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Solution

The fourth proportional to 413.51, 569.23 and 357.92 is: 492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.51 : 569.23 = 357.92 : x
  2. Step 2: Convert to fraction form
    413.51/569.23 = 357.92/x
  3. Step 3: Cross multiply
    413.51x = 569.23 × 357.92
  4. Step 4: Simplify right side
    413.51x = 203,737.20
  5. Step 5: Solve for x
    x = 203,737.20/413.51
  6. Step 6: Final answer
    x = 492.71

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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.