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Finding the Fourth Proportional to 413.58, 570.75 and 227.07

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Solution

The fourth proportional to 413.58, 570.75 and 227.07 is: 313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.58 : 570.75 = 227.07 : x
  2. Step 2: Convert to fraction form
    413.58/570.75 = 227.07/x
  3. Step 3: Cross multiply
    413.58x = 570.75 × 227.07
  4. Step 4: Simplify right side
    413.58x = 129,597.21
  5. Step 5: Solve for x
    x = 129,597.21/413.58
  6. Step 6: Final answer
    x = 313.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.