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Finding the Fourth Proportional to 493.07, 680.43 and 296.58

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Solution

The fourth proportional to 493.07, 680.43 and 296.58 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.07 : 680.43 = 296.58 : x
  2. Step 2: Convert to fraction form
    493.07/680.43 = 296.58/x
  3. Step 3: Cross multiply
    493.07x = 680.43 × 296.58
  4. Step 4: Simplify right side
    493.07x = 201,801.93
  5. Step 5: Solve for x
    x = 201,801.93/493.07
  6. Step 6: Final answer
    x = 409.28

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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.