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Finding the Fourth Proportional to 767.30, 1,151.01 and 280.23

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Solution

The fourth proportional to 767.30, 1,151.01 and 280.23 is: 420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.30 : 1,151.01 = 280.23 : x
  2. Step 2: Convert to fraction form
    767.30/1,151.01 = 280.23/x
  3. Step 3: Cross multiply
    767.30x = 1,151.01 × 280.23
  4. Step 4: Simplify right side
    767.30x = 322,547.53
  5. Step 5: Solve for x
    x = 322,547.53/767.30
  6. Step 6: Final answer
    x = 420.37

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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.