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Finding the Fourth Proportional to 413.52, 619.44 and 355.44

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Solution

The fourth proportional to 413.52, 619.44 and 355.44 is: 532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.52 : 619.44 = 355.44 : x
  2. Step 2: Convert to fraction form
    413.52/619.44 = 355.44/x
  3. Step 3: Cross multiply
    413.52x = 619.44 × 355.44
  4. Step 4: Simplify right side
    413.52x = 220,173.75
  5. Step 5: Solve for x
    x = 220,173.75/413.52
  6. Step 6: Final answer
    x = 532.44

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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.