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Finding the Fourth Proportional to 356.85, 492.15 and 246.27

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Solution

The fourth proportional to 356.85, 492.15 and 246.27 is: 339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.85 : 492.15 = 246.27 : x
  2. Step 2: Convert to fraction form
    356.85/492.15 = 246.27/x
  3. Step 3: Cross multiply
    356.85x = 492.15 × 246.27
  4. Step 4: Simplify right side
    356.85x = 121,201.78
  5. Step 5: Solve for x
    x = 121,201.78/356.85
  6. Step 6: Final answer
    x = 339.64

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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.