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Finding the Fourth Proportional to 463.52, 696.04 and 413.28

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Solution

The fourth proportional to 463.52, 696.04 and 413.28 is: 620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 696.04 = 413.28 : x
  2. Step 2: Convert to fraction form
    463.52/696.04 = 413.28/x
  3. Step 3: Cross multiply
    463.52x = 696.04 × 413.28
  4. Step 4: Simplify right side
    463.52x = 287,659.41
  5. Step 5: Solve for x
    x = 287,659.41/463.52
  6. Step 6: Final answer
    x = 620.60

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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.