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Finding the Fourth Proportional to 480.84, 721.55 and 192.25

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Solution

The fourth proportional to 480.84, 721.55 and 192.25 is: 288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.84 : 721.55 = 192.25 : x
  2. Step 2: Convert to fraction form
    480.84/721.55 = 192.25/x
  3. Step 3: Cross multiply
    480.84x = 721.55 × 192.25
  4. Step 4: Simplify right side
    480.84x = 138,717.99
  5. Step 5: Solve for x
    x = 138,717.99/480.84
  6. Step 6: Final answer
    x = 288.49

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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.