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Finding the Fourth Proportional to 475.80, 656.90 and 298.81

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Solution

The fourth proportional to 475.80, 656.90 and 298.81 is: 412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 656.90 = 298.81 : x
  2. Step 2: Convert to fraction form
    475.80/656.90 = 298.81/x
  3. Step 3: Cross multiply
    475.80x = 656.90 × 298.81
  4. Step 4: Simplify right side
    475.80x = 196,288.29
  5. Step 5: Solve for x
    x = 196,288.29/475.80
  6. Step 6: Final answer
    x = 412.54

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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.