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Finding the Fourth Proportional to 413.48, 619.65 and 208.19

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Solution

The fourth proportional to 413.48, 619.65 and 208.19 is: 311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.48 : 619.65 = 208.19 : x
  2. Step 2: Convert to fraction form
    413.48/619.65 = 208.19/x
  3. Step 3: Cross multiply
    413.48x = 619.65 × 208.19
  4. Step 4: Simplify right side
    413.48x = 129,001.84
  5. Step 5: Solve for x
    x = 129,001.84/413.48
  6. Step 6: Final answer
    x = 311.99

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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.