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Finding the Fourth Proportional to 406.22, 606.79 and 302.94

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Solution

The fourth proportional to 406.22, 606.79 and 302.94 is: 452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.22 : 606.79 = 302.94 : x
  2. Step 2: Convert to fraction form
    406.22/606.79 = 302.94/x
  3. Step 3: Cross multiply
    406.22x = 606.79 × 302.94
  4. Step 4: Simplify right side
    406.22x = 183,821.34
  5. Step 5: Solve for x
    x = 183,821.34/406.22
  6. Step 6: Final answer
    x = 452.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.