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Finding the Fourth Proportional to 413.66, 570.88 and 247.88

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Solution

The fourth proportional to 413.66, 570.88 and 247.88 is: 342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 570.88 = 247.88 : x
  2. Step 2: Convert to fraction form
    413.66/570.88 = 247.88/x
  3. Step 3: Cross multiply
    413.66x = 570.88 × 247.88
  4. Step 4: Simplify right side
    413.66x = 141,509.73
  5. Step 5: Solve for x
    x = 141,509.73/413.66
  6. Step 6: Final answer
    x = 342.09

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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.