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Finding the Fourth Proportional to 475.31, 656.24 and 298.34

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Solution

The fourth proportional to 475.31, 656.24 and 298.34 is: 411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 656.24 = 298.34 : x
  2. Step 2: Convert to fraction form
    475.31/656.24 = 298.34/x
  3. Step 3: Cross multiply
    475.31x = 656.24 × 298.34
  4. Step 4: Simplify right side
    475.31x = 195,777.87
  5. Step 5: Solve for x
    x = 195,777.87/475.31
  6. Step 6: Final answer
    x = 411.90

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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.