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Finding the Fourth Proportional to 413.76, 619.86 and 208.02

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Solution

The fourth proportional to 413.76, 619.86 and 208.02 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 619.86 = 208.02 : x
  2. Step 2: Convert to fraction form
    413.76/619.86 = 208.02/x
  3. Step 3: Cross multiply
    413.76x = 619.86 × 208.02
  4. Step 4: Simplify right side
    413.76x = 128,943.28
  5. Step 5: Solve for x
    x = 128,943.28/413.76
  6. Step 6: Final answer
    x = 311.64

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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.