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Finding the Fourth Proportional to 413.84, 570.85 and 266.29

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Solution

The fourth proportional to 413.84, 570.85 and 266.29 is: 367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 570.85 = 266.29 : x
  2. Step 2: Convert to fraction form
    413.84/570.85 = 266.29/x
  3. Step 3: Cross multiply
    413.84x = 570.85 × 266.29
  4. Step 4: Simplify right side
    413.84x = 152,009.55
  5. Step 5: Solve for x
    x = 152,009.55/413.84
  6. Step 6: Final answer
    x = 367.31

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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.