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Finding the Fourth Proportional to 413.91, 619.65 and 290.08

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Solution

The fourth proportional to 413.91, 619.65 and 290.08 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.91 : 619.65 = 290.08 : x
  2. Step 2: Convert to fraction form
    413.91/619.65 = 290.08/x
  3. Step 3: Cross multiply
    413.91x = 619.65 × 290.08
  4. Step 4: Simplify right side
    413.91x = 179,748.85
  5. Step 5: Solve for x
    x = 179,748.85/413.91
  6. Step 6: Final answer
    x = 434.27

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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.