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Finding the Fourth Proportional to 413.00, 569.89 and 272.84

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Solution

The fourth proportional to 413.00, 569.89 and 272.84 is: 376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.00 : 569.89 = 272.84 : x
  2. Step 2: Convert to fraction form
    413.00/569.89 = 272.84/x
  3. Step 3: Cross multiply
    413.00x = 569.89 × 272.84
  4. Step 4: Simplify right side
    413.00x = 155,489.55
  5. Step 5: Solve for x
    x = 155,489.55/413.00
  6. Step 6: Final answer
    x = 376.49

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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.