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Finding the Fourth Proportional to 356.13, 490.79 and 256.38

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Solution

The fourth proportional to 356.13, 490.79 and 256.38 is: 353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.13 : 490.79 = 256.38 : x
  2. Step 2: Convert to fraction form
    356.13/490.79 = 256.38/x
  3. Step 3: Cross multiply
    356.13x = 490.79 × 256.38
  4. Step 4: Simplify right side
    356.13x = 125,827.02
  5. Step 5: Solve for x
    x = 125,827.02/356.13
  6. Step 6: Final answer
    x = 353.32

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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.