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Finding the Fourth Proportional to 480.90, 721.52 and 275.64

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Solution

The fourth proportional to 480.90, 721.52 and 275.64 is: 413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.90 : 721.52 = 275.64 : x
  2. Step 2: Convert to fraction form
    480.90/721.52 = 275.64/x
  3. Step 3: Cross multiply
    480.90x = 721.52 × 275.64
  4. Step 4: Simplify right side
    480.90x = 198,878.39
  5. Step 5: Solve for x
    x = 198,878.39/480.90
  6. Step 6: Final answer
    x = 413.55

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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.