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Finding the Fourth Proportional to 480.70, 721.14 and 172.74

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Solution

The fourth proportional to 480.70, 721.14 and 172.74 is: 259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.70 : 721.14 = 172.74 : x
  2. Step 2: Convert to fraction form
    480.70/721.14 = 172.74/x
  3. Step 3: Cross multiply
    480.70x = 721.14 × 172.74
  4. Step 4: Simplify right side
    480.70x = 124,569.72
  5. Step 5: Solve for x
    x = 124,569.72/480.70
  6. Step 6: Final answer
    x = 259.14

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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.