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Finding the Fourth Proportional to 335.23, 463.40 and 257.47

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Solution

The fourth proportional to 335.23, 463.40 and 257.47 is: 355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.23 : 463.40 = 257.47 : x
  2. Step 2: Convert to fraction form
    335.23/463.40 = 257.47/x
  3. Step 3: Cross multiply
    335.23x = 463.40 × 257.47
  4. Step 4: Simplify right side
    335.23x = 119,310.31
  5. Step 5: Solve for x
    x = 119,310.31/335.23
  6. Step 6: Final answer
    x = 355.91

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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.