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Finding the Fourth Proportional to 317.46, 438.21 and 212.70

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Solution

The fourth proportional to 317.46, 438.21 and 212.70 is: 293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 438.21 = 212.70 : x
  2. Step 2: Convert to fraction form
    317.46/438.21 = 212.70/x
  3. Step 3: Cross multiply
    317.46x = 438.21 × 212.70
  4. Step 4: Simplify right side
    317.46x = 93,207.27
  5. Step 5: Solve for x
    x = 93,207.27/317.46
  6. Step 6: Final answer
    x = 293.60

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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.