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Finding the Fourth Proportional to 361.49, 498.94 and 256.47

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Solution

The fourth proportional to 361.49, 498.94 and 256.47 is: 353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.49 : 498.94 = 256.47 : x
  2. Step 2: Convert to fraction form
    361.49/498.94 = 256.47/x
  3. Step 3: Cross multiply
    361.49x = 498.94 × 256.47
  4. Step 4: Simplify right side
    361.49x = 127,963.14
  5. Step 5: Solve for x
    x = 127,963.14/361.49
  6. Step 6: Final answer
    x = 353.99

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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.