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Finding the Fourth Proportional to 336.53, 464.31 and 257.91

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Solution

The fourth proportional to 336.53, 464.31 and 257.91 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.53 : 464.31 = 257.91 : x
  2. Step 2: Convert to fraction form
    336.53/464.31 = 257.91/x
  3. Step 3: Cross multiply
    336.53x = 464.31 × 257.91
  4. Step 4: Simplify right side
    336.53x = 119,750.19
  5. Step 5: Solve for x
    x = 119,750.19/336.53
  6. Step 6: Final answer
    x = 355.84

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Why These Related Problems?

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