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Finding the Fourth Proportional to 413.09, 569.08 and 288.53

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Solution

The fourth proportional to 413.09, 569.08 and 288.53 is: 397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.09 : 569.08 = 288.53 : x
  2. Step 2: Convert to fraction form
    413.09/569.08 = 288.53/x
  3. Step 3: Cross multiply
    413.09x = 569.08 × 288.53
  4. Step 4: Simplify right side
    413.09x = 164,194.17
  5. Step 5: Solve for x
    x = 164,194.17/413.09
  6. Step 6: Final answer
    x = 397.48

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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.