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Finding the Fourth Proportional to 767.21, 1,151.24 and 280.17

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Solution

The fourth proportional to 767.21, 1,151.24 and 280.17 is: 420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.21 : 1,151.24 = 280.17 : x
  2. Step 2: Convert to fraction form
    767.21/1,151.24 = 280.17/x
  3. Step 3: Cross multiply
    767.21x = 1,151.24 × 280.17
  4. Step 4: Simplify right side
    767.21x = 322,541.51
  5. Step 5: Solve for x
    x = 322,541.51/767.21
  6. Step 6: Final answer
    x = 420.41

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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.