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Finding the Fourth Proportional to 475.71, 656.08 and 309.88

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Solution

The fourth proportional to 475.71, 656.08 and 309.88 is: 427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.71 : 656.08 = 309.88 : x
  2. Step 2: Convert to fraction form
    475.71/656.08 = 309.88/x
  3. Step 3: Cross multiply
    475.71x = 656.08 × 309.88
  4. Step 4: Simplify right side
    475.71x = 203,306.07
  5. Step 5: Solve for x
    x = 203,306.07/475.71
  6. Step 6: Final answer
    x = 427.37

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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.