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Finding the Fourth Proportional to 413.37, 570.39 and 226.84

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Solution

The fourth proportional to 413.37, 570.39 and 226.84 is: 313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.37 : 570.39 = 226.84 : x
  2. Step 2: Convert to fraction form
    413.37/570.39 = 226.84/x
  3. Step 3: Cross multiply
    413.37x = 570.39 × 226.84
  4. Step 4: Simplify right side
    413.37x = 129,384.42
  5. Step 5: Solve for x
    x = 129,384.42/413.37
  6. Step 6: Final answer
    x = 313.00

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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.