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Finding the Fourth Proportional to 336.25, 464.84 and 257.99

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Solution

The fourth proportional to 336.25, 464.84 and 257.99 is: 356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.25 : 464.84 = 257.99 : x
  2. Step 2: Convert to fraction form
    336.25/464.84 = 257.99/x
  3. Step 3: Cross multiply
    336.25x = 464.84 × 257.99
  4. Step 4: Simplify right side
    336.25x = 119,921.42
  5. Step 5: Solve for x
    x = 119,921.42/336.25
  6. Step 6: Final answer
    x = 356.64

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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.