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Finding the Fourth Proportional to 413.08, 569.76 and 330.28

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Solution

The fourth proportional to 413.08, 569.76 and 330.28 is: 455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 569.76 = 330.28 : x
  2. Step 2: Convert to fraction form
    413.08/569.76 = 330.28/x
  3. Step 3: Cross multiply
    413.08x = 569.76 × 330.28
  4. Step 4: Simplify right side
    413.08x = 188,180.33
  5. Step 5: Solve for x
    x = 188,180.33/413.08
  6. Step 6: Final answer
    x = 455.55

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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.