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Finding the Fourth Proportional to 456.83, 687.88 and 335.94

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Solution

The fourth proportional to 456.83, 687.88 and 335.94 is: 505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.83 : 687.88 = 335.94 : x
  2. Step 2: Convert to fraction form
    456.83/687.88 = 335.94/x
  3. Step 3: Cross multiply
    456.83x = 687.88 × 335.94
  4. Step 4: Simplify right side
    456.83x = 231,086.41
  5. Step 5: Solve for x
    x = 231,086.41/456.83
  6. Step 6: Final answer
    x = 505.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.