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Finding the Fourth Proportional to 493.04, 680.37 and 296.54

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Solution

The fourth proportional to 493.04, 680.37 and 296.54 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.04 : 680.37 = 296.54 : x
  2. Step 2: Convert to fraction form
    493.04/680.37 = 296.54/x
  3. Step 3: Cross multiply
    493.04x = 680.37 × 296.54
  4. Step 4: Simplify right side
    493.04x = 201,756.92
  5. Step 5: Solve for x
    x = 201,756.92/493.04
  6. Step 6: Final answer
    x = 409.21

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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.