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Finding the Fourth Proportional to 413.29, 571.22 and 368.74

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Solution

The fourth proportional to 413.29, 571.22 and 368.74 is: 509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 571.22 = 368.74 : x
  2. Step 2: Convert to fraction form
    413.29/571.22 = 368.74/x
  3. Step 3: Cross multiply
    413.29x = 571.22 × 368.74
  4. Step 4: Simplify right side
    413.29x = 210,631.66
  5. Step 5: Solve for x
    x = 210,631.66/413.29
  6. Step 6: Final answer
    x = 509.65

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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.