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Finding the Fourth Proportional to 413.07, 619.20 and 290.94

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Solution

The fourth proportional to 413.07, 619.20 and 290.94 is: 436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.07 : 619.20 = 290.94 : x
  2. Step 2: Convert to fraction form
    413.07/619.20 = 290.94/x
  3. Step 3: Cross multiply
    413.07x = 619.20 × 290.94
  4. Step 4: Simplify right side
    413.07x = 180,150.05
  5. Step 5: Solve for x
    x = 180,150.05/413.07
  6. Step 6: Final answer
    x = 436.12

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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.