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Finding the Fourth Proportional to 475.43, 656.16 and 289.02

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Solution

The fourth proportional to 475.43, 656.16 and 289.02 is: 398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.43 : 656.16 = 289.02 : x
  2. Step 2: Convert to fraction form
    475.43/656.16 = 289.02/x
  3. Step 3: Cross multiply
    475.43x = 656.16 × 289.02
  4. Step 4: Simplify right side
    475.43x = 189,644.74
  5. Step 5: Solve for x
    x = 189,644.74/475.43
  6. Step 6: Final answer
    x = 398.90

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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.