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Finding the Fourth Proportional to 768.35, 1,152.28 and 306.01

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Solution

The fourth proportional to 768.35, 1,152.28 and 306.01 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.35 : 1,152.28 = 306.01 : x
  2. Step 2: Convert to fraction form
    768.35/1,152.28 = 306.01/x
  3. Step 3: Cross multiply
    768.35x = 1,152.28 × 306.01
  4. Step 4: Simplify right side
    768.35x = 352,606.87
  5. Step 5: Solve for x
    x = 352,606.87/768.35
  6. Step 6: Final answer
    x = 458.91

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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.