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Finding the Fourth Proportional to 767.08, 1,151.27 and 305.18

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Solution

The fourth proportional to 767.08, 1,151.27 and 305.18 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.08 : 1,151.27 = 305.18 : x
  2. Step 2: Convert to fraction form
    767.08/1,151.27 = 305.18/x
  3. Step 3: Cross multiply
    767.08x = 1,151.27 × 305.18
  4. Step 4: Simplify right side
    767.08x = 351,348.22
  5. Step 5: Solve for x
    x = 351,348.22/767.08
  6. Step 6: Final answer
    x = 458.03

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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.