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Finding the Fourth Proportional to 475.42, 656.20 and 298.47

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Solution

The fourth proportional to 475.42, 656.20 and 298.47 is: 411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.42 : 656.20 = 298.47 : x
  2. Step 2: Convert to fraction form
    475.42/656.20 = 298.47/x
  3. Step 3: Cross multiply
    475.42x = 656.20 × 298.47
  4. Step 4: Simplify right side
    475.42x = 195,856.01
  5. Step 5: Solve for x
    x = 195,856.01/475.42
  6. Step 6: Final answer
    x = 411.96

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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.