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Finding the Fourth Proportional to 413.63, 570.71 and 247.82

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Solution

The fourth proportional to 413.63, 570.71 and 247.82 is: 341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 570.71 = 247.82 : x
  2. Step 2: Convert to fraction form
    413.63/570.71 = 247.82/x
  3. Step 3: Cross multiply
    413.63x = 570.71 × 247.82
  4. Step 4: Simplify right side
    413.63x = 141,429.26
  5. Step 5: Solve for x
    x = 141,429.26/413.63
  6. Step 6: Final answer
    x = 341.93

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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.