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Finding the Fourth Proportional to 413.20, 569.58 and 265.48

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Solution

The fourth proportional to 413.20, 569.58 and 265.48 is: 365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 569.58 = 265.48 : x
  2. Step 2: Convert to fraction form
    413.20/569.58 = 265.48/x
  3. Step 3: Cross multiply
    413.20x = 569.58 × 265.48
  4. Step 4: Simplify right side
    413.20x = 151,212.10
  5. Step 5: Solve for x
    x = 151,212.10/413.20
  6. Step 6: Final answer
    x = 365.95

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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.