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Finding the Fourth Proportional to 413.14, 570.07 and 265.79

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Solution

The fourth proportional to 413.14, 570.07 and 265.79 is: 366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 570.07 = 265.79 : x
  2. Step 2: Convert to fraction form
    413.14/570.07 = 265.79/x
  3. Step 3: Cross multiply
    413.14x = 570.07 × 265.79
  4. Step 4: Simplify right side
    413.14x = 151,515.39
  5. Step 5: Solve for x
    x = 151,515.39/413.14
  6. Step 6: Final answer
    x = 366.74

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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.