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Finding the Fourth Proportional to 357.32, 492.74 and 246.82

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Solution

The fourth proportional to 357.32, 492.74 and 246.82 is: 340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.32 : 492.74 = 246.82 : x
  2. Step 2: Convert to fraction form
    357.32/492.74 = 246.82/x
  3. Step 3: Cross multiply
    357.32x = 492.74 × 246.82
  4. Step 4: Simplify right side
    357.32x = 121,618.09
  5. Step 5: Solve for x
    x = 121,618.09/357.32
  6. Step 6: Final answer
    x = 340.36

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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.