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Finding the Fourth Proportional to 335.64, 463.07 and 256.97

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Solution

The fourth proportional to 335.64, 463.07 and 256.97 is: 354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.64 : 463.07 = 256.97 : x
  2. Step 2: Convert to fraction form
    335.64/463.07 = 256.97/x
  3. Step 3: Cross multiply
    335.64x = 463.07 × 256.97
  4. Step 4: Simplify right side
    335.64x = 118,995.45
  5. Step 5: Solve for x
    x = 118,995.45/335.64
  6. Step 6: Final answer
    x = 354.53

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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.