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Finding the Fourth Proportional to 493.10, 680.40 and 296.57

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Solution

The fourth proportional to 493.10, 680.40 and 296.57 is: 409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.10 : 680.40 = 296.57 : x
  2. Step 2: Convert to fraction form
    493.10/680.40 = 296.57/x
  3. Step 3: Cross multiply
    493.10x = 680.40 × 296.57
  4. Step 4: Simplify right side
    493.10x = 201,782.83
  5. Step 5: Solve for x
    x = 201,782.83/493.10
  6. Step 6: Final answer
    x = 409.22

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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.