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Finding the Fourth Proportional to 767.04, 1,150.08 and 334.08

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Solution

The fourth proportional to 767.04, 1,150.08 and 334.08 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.04 : 1,150.08 = 334.08 : x
  2. Step 2: Convert to fraction form
    767.04/1,150.08 = 334.08/x
  3. Step 3: Cross multiply
    767.04x = 1,150.08 × 334.08
  4. Step 4: Simplify right side
    767.04x = 384,218.73
  5. Step 5: Solve for x
    x = 384,218.73/767.04
  6. Step 6: Final answer
    x = 500.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.