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Finding the Fourth Proportional to 475.94, 656.38 and 310.09

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Solution

The fourth proportional to 475.94, 656.38 and 310.09 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.94 : 656.38 = 310.09 : x
  2. Step 2: Convert to fraction form
    475.94/656.38 = 310.09/x
  3. Step 3: Cross multiply
    475.94x = 656.38 × 310.09
  4. Step 4: Simplify right side
    475.94x = 203,534.46
  5. Step 5: Solve for x
    x = 203,534.46/475.94
  6. Step 6: Final answer
    x = 427.65

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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.