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Finding the Fourth Proportional to 413.08, 569.44 and 265.68

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Solution

The fourth proportional to 413.08, 569.44 and 265.68 is: 366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 569.44 = 265.68 : x
  2. Step 2: Convert to fraction form
    413.08/569.44 = 265.68/x
  3. Step 3: Cross multiply
    413.08x = 569.44 × 265.68
  4. Step 4: Simplify right side
    413.08x = 151,288.82
  5. Step 5: Solve for x
    x = 151,288.82/413.08
  6. Step 6: Final answer
    x = 366.25

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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.