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Finding the Fourth Proportional to 480.36, 721.74 and 307.11

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Solution

The fourth proportional to 480.36, 721.74 and 307.11 is: 461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.36 : 721.74 = 307.11 : x
  2. Step 2: Convert to fraction form
    480.36/721.74 = 307.11/x
  3. Step 3: Cross multiply
    480.36x = 721.74 × 307.11
  4. Step 4: Simplify right side
    480.36x = 221,657.43
  5. Step 5: Solve for x
    x = 221,657.43/480.36
  6. Step 6: Final answer
    x = 461.44

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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.