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Finding the Fourth Proportional to 480.26, 721.20 and 476.48

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Solution

The fourth proportional to 480.26, 721.20 and 476.48 is: 715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.26 : 721.20 = 476.48 : x
  2. Step 2: Convert to fraction form
    480.26/721.20 = 476.48/x
  3. Step 3: Cross multiply
    480.26x = 721.20 × 476.48
  4. Step 4: Simplify right side
    480.26x = 343,637.38
  5. Step 5: Solve for x
    x = 343,637.38/480.26
  6. Step 6: Final answer
    x = 715.52

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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.