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Finding the Fourth Proportional to 475.43, 656.10 and 298.40

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Solution

The fourth proportional to 475.43, 656.10 and 298.40 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.43 : 656.10 = 298.40 : x
  2. Step 2: Convert to fraction form
    475.43/656.10 = 298.40/x
  3. Step 3: Cross multiply
    475.43x = 656.10 × 298.40
  4. Step 4: Simplify right side
    475.43x = 195,778.15
  5. Step 5: Solve for x
    x = 195,778.15/475.43
  6. Step 6: Final answer
    x = 411.79

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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.