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Finding the Fourth Proportional to 333.87, 460.47 and 294.56

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Solution

The fourth proportional to 333.87, 460.47 and 294.56 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.87 : 460.47 = 294.56 : x
  2. Step 2: Convert to fraction form
    333.87/460.47 = 294.56/x
  3. Step 3: Cross multiply
    333.87x = 460.47 × 294.56
  4. Step 4: Simplify right side
    333.87x = 135,635.59
  5. Step 5: Solve for x
    x = 135,635.59/333.87
  6. Step 6: Final answer
    x = 406.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.