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Finding the Fourth Proportional to 357.30, 492.48 and 246.72

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Solution

The fourth proportional to 357.30, 492.48 and 246.72 is: 340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.30 : 492.48 = 246.72 : x
  2. Step 2: Convert to fraction form
    357.30/492.48 = 246.72/x
  3. Step 3: Cross multiply
    357.30x = 492.48 × 246.72
  4. Step 4: Simplify right side
    357.30x = 121,504.67
  5. Step 5: Solve for x
    x = 121,504.67/357.30
  6. Step 6: Final answer
    x = 340.06

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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.