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Finding the Fourth Proportional to 480.88, 721.44 and 288.16

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Solution

The fourth proportional to 480.88, 721.44 and 288.16 is: 432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.88 : 721.44 = 288.16 : x
  2. Step 2: Convert to fraction form
    480.88/721.44 = 288.16/x
  3. Step 3: Cross multiply
    480.88x = 721.44 × 288.16
  4. Step 4: Simplify right side
    480.88x = 207,890.15
  5. Step 5: Solve for x
    x = 207,890.15/480.88
  6. Step 6: Final answer
    x = 432.31

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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.