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Finding the Fourth Proportional to 475.33, 656.09 and 288.79

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Solution

The fourth proportional to 475.33, 656.09 and 288.79 is: 398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.33 : 656.09 = 288.79 : x
  2. Step 2: Convert to fraction form
    475.33/656.09 = 288.79/x
  3. Step 3: Cross multiply
    475.33x = 656.09 × 288.79
  4. Step 4: Simplify right side
    475.33x = 189,472.23
  5. Step 5: Solve for x
    x = 189,472.23/475.33
  6. Step 6: Final answer
    x = 398.61

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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.