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Finding the Fourth Proportional to 361.73, 498.65 and 256.49

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Solution

The fourth proportional to 361.73, 498.65 and 256.49 is: 353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.73 : 498.65 = 256.49 : x
  2. Step 2: Convert to fraction form
    361.73/498.65 = 256.49/x
  3. Step 3: Cross multiply
    361.73x = 498.65 × 256.49
  4. Step 4: Simplify right side
    361.73x = 127,898.74
  5. Step 5: Solve for x
    x = 127,898.74/361.73
  6. Step 6: Final answer
    x = 353.58

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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.