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Finding the Fourth Proportional to 317.21, 437.50 and 212.26

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Solution

The fourth proportional to 317.21, 437.50 and 212.26 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.21 : 437.50 = 212.26 : x
  2. Step 2: Convert to fraction form
    317.21/437.50 = 212.26/x
  3. Step 3: Cross multiply
    317.21x = 437.50 × 212.26
  4. Step 4: Simplify right side
    317.21x = 92,864.97
  5. Step 5: Solve for x
    x = 92,864.97/317.21
  6. Step 6: Final answer
    x = 292.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.