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Finding the Fourth Proportional to 480.54, 721.02 and 257.64

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Solution

The fourth proportional to 480.54, 721.02 and 257.64 is: 386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.54 : 721.02 = 257.64 : x
  2. Step 2: Convert to fraction form
    480.54/721.02 = 257.64/x
  3. Step 3: Cross multiply
    480.54x = 721.02 × 257.64
  4. Step 4: Simplify right side
    480.54x = 185,763.59
  5. Step 5: Solve for x
    x = 185,763.59/480.54
  6. Step 6: Final answer
    x = 386.57

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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.