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Finding the Fourth Proportional to 413.32, 619.66 and 207.79

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Solution

The fourth proportional to 413.32, 619.66 and 207.79 is: 311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.32 : 619.66 = 207.79 : x
  2. Step 2: Convert to fraction form
    413.32/619.66 = 207.79/x
  3. Step 3: Cross multiply
    413.32x = 619.66 × 207.79
  4. Step 4: Simplify right side
    413.32x = 128,759.15
  5. Step 5: Solve for x
    x = 128,759.15/413.32
  6. Step 6: Final answer
    x = 311.52

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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.