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Finding the Fourth Proportional to 292.84, 438.96 and 212.05

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Solution

The fourth proportional to 292.84, 438.96 and 212.05 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.84 : 438.96 = 212.05 : x
  2. Step 2: Convert to fraction form
    292.84/438.96 = 212.05/x
  3. Step 3: Cross multiply
    292.84x = 438.96 × 212.05
  4. Step 4: Simplify right side
    292.84x = 93,081.47
  5. Step 5: Solve for x
    x = 93,081.47/292.84
  6. Step 6: Final answer
    x = 317.86

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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.