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Finding the Fourth Proportional to 356.97, 492.39 and 246.24

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Solution

The fourth proportional to 356.97, 492.39 and 246.24 is: 339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.97 : 492.39 = 246.24 : x
  2. Step 2: Convert to fraction form
    356.97/492.39 = 246.24/x
  3. Step 3: Cross multiply
    356.97x = 492.39 × 246.24
  4. Step 4: Simplify right side
    356.97x = 121,246.11
  5. Step 5: Solve for x
    x = 121,246.11/356.97
  6. Step 6: Final answer
    x = 339.65

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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.