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Finding the Fourth Proportional to 475.97, 656.84 and 279.59

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Solution

The fourth proportional to 475.97, 656.84 and 279.59 is: 385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.97 : 656.84 = 279.59 : x
  2. Step 2: Convert to fraction form
    475.97/656.84 = 279.59/x
  3. Step 3: Cross multiply
    475.97x = 656.84 × 279.59
  4. Step 4: Simplify right side
    475.97x = 183,647.90
  5. Step 5: Solve for x
    x = 183,647.90/475.97
  6. Step 6: Final answer
    x = 385.84

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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.