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Finding the Fourth Proportional to 413.84, 571.04 and 274.20

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Solution

The fourth proportional to 413.84, 571.04 and 274.20 is: 378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 571.04 = 274.20 : x
  2. Step 2: Convert to fraction form
    413.84/571.04 = 274.20/x
  3. Step 3: Cross multiply
    413.84x = 571.04 × 274.20
  4. Step 4: Simplify right side
    413.84x = 156,579.17
  5. Step 5: Solve for x
    x = 156,579.17/413.84
  6. Step 6: Final answer
    x = 378.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.