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Finding the Fourth Proportional to 356.81, 492.28 and 246.24

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Solution

The fourth proportional to 356.81, 492.28 and 246.24 is: 339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.81 : 492.28 = 246.24 : x
  2. Step 2: Convert to fraction form
    356.81/492.28 = 246.24/x
  3. Step 3: Cross multiply
    356.81x = 492.28 × 246.24
  4. Step 4: Simplify right side
    356.81x = 121,218.41
  5. Step 5: Solve for x
    x = 121,218.41/356.81
  6. Step 6: Final answer
    x = 339.73

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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.