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Finding the Fourth Proportional to 475.62, 656.43 and 289.23

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Solution

The fourth proportional to 475.62, 656.43 and 289.23 is: 399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.62 : 656.43 = 289.23 : x
  2. Step 2: Convert to fraction form
    475.62/656.43 = 289.23/x
  3. Step 3: Cross multiply
    475.62x = 656.43 × 289.23
  4. Step 4: Simplify right side
    475.62x = 189,859.25
  5. Step 5: Solve for x
    x = 189,859.25/475.62
  6. Step 6: Final answer
    x = 399.18

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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.