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Finding the Fourth Proportional to 475.29, 713.09 and 215.26

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Solution

The fourth proportional to 475.29, 713.09 and 215.26 is: 322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.29 : 713.09 = 215.26 : x
  2. Step 2: Convert to fraction form
    475.29/713.09 = 215.26/x
  3. Step 3: Cross multiply
    475.29x = 713.09 × 215.26
  4. Step 4: Simplify right side
    475.29x = 153,499.75
  5. Step 5: Solve for x
    x = 153,499.75/475.29
  6. Step 6: Final answer
    x = 322.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.