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Finding the Fourth Proportional to 335.70, 462.33 and 257.94

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Solution

The fourth proportional to 335.70, 462.33 and 257.94 is: 355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.70 : 462.33 = 257.94 : x
  2. Step 2: Convert to fraction form
    335.70/462.33 = 257.94/x
  3. Step 3: Cross multiply
    335.70x = 462.33 × 257.94
  4. Step 4: Simplify right side
    335.70x = 119,253.40
  5. Step 5: Solve for x
    x = 119,253.40/335.70
  6. Step 6: Final answer
    x = 355.24

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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.