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Finding the Fourth Proportional to 767.23, 1,151.29 and 280.31

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Solution

The fourth proportional to 767.23, 1,151.29 and 280.31 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.23 : 1,151.29 = 280.31 : x
  2. Step 2: Convert to fraction form
    767.23/1,151.29 = 280.31/x
  3. Step 3: Cross multiply
    767.23x = 1,151.29 × 280.31
  4. Step 4: Simplify right side
    767.23x = 322,718.10
  5. Step 5: Solve for x
    x = 322,718.10/767.23
  6. Step 6: Final answer
    x = 420.63

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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.