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Finding the Fourth Proportional to 413.76, 570.96 and 266.14

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Solution

The fourth proportional to 413.76, 570.96 and 266.14 is: 367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 570.96 = 266.14 : x
  2. Step 2: Convert to fraction form
    413.76/570.96 = 266.14/x
  3. Step 3: Cross multiply
    413.76x = 570.96 × 266.14
  4. Step 4: Simplify right side
    413.76x = 151,955.29
  5. Step 5: Solve for x
    x = 151,955.29/413.76
  6. Step 6: Final answer
    x = 367.25

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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.