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Finding the Fourth Proportional to 413.61, 621.72 and 231.36

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Solution

The fourth proportional to 413.61, 621.72 and 231.36 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.61 : 621.72 = 231.36 : x
  2. Step 2: Convert to fraction form
    413.61/621.72 = 231.36/x
  3. Step 3: Cross multiply
    413.61x = 621.72 × 231.36
  4. Step 4: Simplify right side
    413.61x = 143,841.14
  5. Step 5: Solve for x
    x = 143,841.14/413.61
  6. Step 6: Final answer
    x = 347.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.