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Finding the Fourth Proportional to 413.50, 570.63 and 229.50

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Solution

The fourth proportional to 413.50, 570.63 and 229.50 is: 316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.50 : 570.63 = 229.50 : x
  2. Step 2: Convert to fraction form
    413.50/570.63 = 229.50/x
  3. Step 3: Cross multiply
    413.50x = 570.63 × 229.50
  4. Step 4: Simplify right side
    413.50x = 130,959.59
  5. Step 5: Solve for x
    x = 130,959.59/413.50
  6. Step 6: Final answer
    x = 316.71

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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.