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Finding the Fourth Proportional to 413.76, 570.80 and 266.34

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Solution

The fourth proportional to 413.76, 570.80 and 266.34 is: 367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 570.80 = 266.34 : x
  2. Step 2: Convert to fraction form
    413.76/570.80 = 266.34/x
  3. Step 3: Cross multiply
    413.76x = 570.80 × 266.34
  4. Step 4: Simplify right side
    413.76x = 152,027.54
  5. Step 5: Solve for x
    x = 152,027.54/413.76
  6. Step 6: Final answer
    x = 367.43

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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.