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Finding the Fourth Proportional to 475.34, 656.27 and 309.82

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Solution

The fourth proportional to 475.34, 656.27 and 309.82 is: 427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.34 : 656.27 = 309.82 : x
  2. Step 2: Convert to fraction form
    475.34/656.27 = 309.82/x
  3. Step 3: Cross multiply
    475.34x = 656.27 × 309.82
  4. Step 4: Simplify right side
    475.34x = 203,325.57
  5. Step 5: Solve for x
    x = 203,325.57/475.34
  6. Step 6: Final answer
    x = 427.75

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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.