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Finding the Fourth Proportional to 475.82, 656.48 and 310.26

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Solution

The fourth proportional to 475.82, 656.48 and 310.26 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.82 : 656.48 = 310.26 : x
  2. Step 2: Convert to fraction form
    475.82/656.48 = 310.26/x
  3. Step 3: Cross multiply
    475.82x = 656.48 × 310.26
  4. Step 4: Simplify right side
    475.82x = 203,679.48
  5. Step 5: Solve for x
    x = 203,679.48/475.82
  6. Step 6: Final answer
    x = 428.06

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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.