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Finding the Fourth Proportional to 468.66, 701.73 and 305.94

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Solution

The fourth proportional to 468.66, 701.73 and 305.94 is: 458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 701.73 = 305.94 : x
  2. Step 2: Convert to fraction form
    468.66/701.73 = 305.94/x
  3. Step 3: Cross multiply
    468.66x = 701.73 × 305.94
  4. Step 4: Simplify right side
    468.66x = 214,687.28
  5. Step 5: Solve for x
    x = 214,687.28/468.66
  6. Step 6: Final answer
    x = 458.09

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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.