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Finding the Fourth Proportional to 504.69, 757.17 and 212.22

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Solution

The fourth proportional to 504.69, 757.17 and 212.22 is: 318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 757.17 = 212.22 : x
  2. Step 2: Convert to fraction form
    504.69/757.17 = 212.22/x
  3. Step 3: Cross multiply
    504.69x = 757.17 × 212.22
  4. Step 4: Simplify right side
    504.69x = 160,686.62
  5. Step 5: Solve for x
    x = 160,686.62/504.69
  6. Step 6: Final answer
    x = 318.39

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