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Finding the Fourth Proportional to 475.90, 656.79 and 301.26

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Solution

The fourth proportional to 475.90, 656.79 and 301.26 is: 415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.90 : 656.79 = 301.26 : x
  2. Step 2: Convert to fraction form
    475.90/656.79 = 301.26/x
  3. Step 3: Cross multiply
    475.90x = 656.79 × 301.26
  4. Step 4: Simplify right side
    475.90x = 197,864.56
  5. Step 5: Solve for x
    x = 197,864.56/475.90
  6. Step 6: Final answer
    x = 415.77

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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.