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Finding the Fourth Proportional to 480.33, 721.29 and 264.06

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Solution

The fourth proportional to 480.33, 721.29 and 264.06 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.33 : 721.29 = 264.06 : x
  2. Step 2: Convert to fraction form
    480.33/721.29 = 264.06/x
  3. Step 3: Cross multiply
    480.33x = 721.29 × 264.06
  4. Step 4: Simplify right side
    480.33x = 190,463.84
  5. Step 5: Solve for x
    x = 190,463.84/480.33
  6. Step 6: Final answer
    x = 396.53

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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.