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Finding the Fourth Proportional to 475.80, 656.82 and 298.84

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Solution

The fourth proportional to 475.80, 656.82 and 298.84 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 656.82 = 298.84 : x
  2. Step 2: Convert to fraction form
    475.80/656.82 = 298.84/x
  3. Step 3: Cross multiply
    475.80x = 656.82 × 298.84
  4. Step 4: Simplify right side
    475.80x = 196,284.09
  5. Step 5: Solve for x
    x = 196,284.09/475.80
  6. Step 6: Final answer
    x = 412.53

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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.