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Finding the Fourth Proportional to 384.25, 576.62 and 211.04

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Solution

The fourth proportional to 384.25, 576.62 and 211.04 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.25 : 576.62 = 211.04 : x
  2. Step 2: Convert to fraction form
    384.25/576.62 = 211.04/x
  3. Step 3: Cross multiply
    384.25x = 576.62 × 211.04
  4. Step 4: Simplify right side
    384.25x = 121,686.74
  5. Step 5: Solve for x
    x = 121,686.74/384.25
  6. Step 6: Final answer
    x = 316.69

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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.