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Finding the Fourth Proportional to 768.04, 1,152.14 and 255.08

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Solution

The fourth proportional to 768.04, 1,152.14 and 255.08 is: 382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.04 : 1,152.14 = 255.08 : x
  2. Step 2: Convert to fraction form
    768.04/1,152.14 = 255.08/x
  3. Step 3: Cross multiply
    768.04x = 1,152.14 × 255.08
  4. Step 4: Simplify right side
    768.04x = 293,887.87
  5. Step 5: Solve for x
    x = 293,887.87/768.04
  6. Step 6: Final answer
    x = 382.65

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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.