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Finding the Fourth Proportional to 413.52, 570.66 and 227.01

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Solution

The fourth proportional to 413.52, 570.66 and 227.01 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.52 : 570.66 = 227.01 : x
  2. Step 2: Convert to fraction form
    413.52/570.66 = 227.01/x
  3. Step 3: Cross multiply
    413.52x = 570.66 × 227.01
  4. Step 4: Simplify right side
    413.52x = 129,545.53
  5. Step 5: Solve for x
    x = 129,545.53/413.52
  6. Step 6: Final answer
    x = 313.28

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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.