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Finding the Fourth Proportional to 357.41, 492.63 and 246.65

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Solution

The fourth proportional to 357.41, 492.63 and 246.65 is: 339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.41 : 492.63 = 246.65 : x
  2. Step 2: Convert to fraction form
    357.41/492.63 = 246.65/x
  3. Step 3: Cross multiply
    357.41x = 492.63 × 246.65
  4. Step 4: Simplify right side
    357.41x = 121,505.19
  5. Step 5: Solve for x
    x = 121,505.19/357.41
  6. Step 6: Final answer
    x = 339.96

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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.