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Finding the Fourth Proportional to 476.05, 656.68 and 301.09

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Solution

The fourth proportional to 476.05, 656.68 and 301.09 is: 415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.05 : 656.68 = 301.09 : x
  2. Step 2: Convert to fraction form
    476.05/656.68 = 301.09/x
  3. Step 3: Cross multiply
    476.05x = 656.68 × 301.09
  4. Step 4: Simplify right side
    476.05x = 197,719.78
  5. Step 5: Solve for x
    x = 197,719.78/476.05
  6. Step 6: Final answer
    x = 415.33

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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.