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Finding the Fourth Proportional to 767.58, 1,150.34 and 280.16

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Solution

The fourth proportional to 767.58, 1,150.34 and 280.16 is: 419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.58 : 1,150.34 = 280.16 : x
  2. Step 2: Convert to fraction form
    767.58/1,150.34 = 280.16/x
  3. Step 3: Cross multiply
    767.58x = 1,150.34 × 280.16
  4. Step 4: Simplify right side
    767.58x = 322,276.42
  5. Step 5: Solve for x
    x = 322,276.42/767.58
  6. Step 6: Final answer
    x = 419.86

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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.