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Finding the Fourth Proportional to 475.97, 656.80 and 279.45

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Solution

The fourth proportional to 475.97, 656.80 and 279.45 is: 385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.97 : 656.80 = 279.45 : x
  2. Step 2: Convert to fraction form
    475.97/656.80 = 279.45/x
  3. Step 3: Cross multiply
    475.97x = 656.80 × 279.45
  4. Step 4: Simplify right side
    475.97x = 183,542.06
  5. Step 5: Solve for x
    x = 183,542.06/475.97
  6. Step 6: Final answer
    x = 385.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.