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Finding the Fourth Proportional to 475.58, 656.26 and 289.13

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Solution

The fourth proportional to 475.58, 656.26 and 289.13 is: 398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.58 : 656.26 = 289.13 : x
  2. Step 2: Convert to fraction form
    475.58/656.26 = 289.13/x
  3. Step 3: Cross multiply
    475.58x = 656.26 × 289.13
  4. Step 4: Simplify right side
    475.58x = 189,744.45
  5. Step 5: Solve for x
    x = 189,744.45/475.58
  6. Step 6: Final answer
    x = 398.97

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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.