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Finding the Fourth Proportional to 413.70, 570.78 and 247.94

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Solution

The fourth proportional to 413.70, 570.78 and 247.94 is: 342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.70 : 570.78 = 247.94 : x
  2. Step 2: Convert to fraction form
    413.70/570.78 = 247.94/x
  3. Step 3: Cross multiply
    413.70x = 570.78 × 247.94
  4. Step 4: Simplify right side
    413.70x = 141,519.19
  5. Step 5: Solve for x
    x = 141,519.19/413.70
  6. Step 6: Final answer
    x = 342.08

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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.