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Finding the Fourth Proportional to 493.94, 680.92 and 346.11

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Solution

The fourth proportional to 493.94, 680.92 and 346.11 is: 477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 680.92 = 346.11 : x
  2. Step 2: Convert to fraction form
    493.94/680.92 = 346.11/x
  3. Step 3: Cross multiply
    493.94x = 680.92 × 346.11
  4. Step 4: Simplify right side
    493.94x = 235,673.22
  5. Step 5: Solve for x
    x = 235,673.22/493.94
  6. Step 6: Final answer
    x = 477.13

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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.