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Finding the Fourth Proportional to 375.68, 562.41 and 212.87

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Solution

The fourth proportional to 375.68, 562.41 and 212.87 is: 318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.68 : 562.41 = 212.87 : x
  2. Step 2: Convert to fraction form
    375.68/562.41 = 212.87/x
  3. Step 3: Cross multiply
    375.68x = 562.41 × 212.87
  4. Step 4: Simplify right side
    375.68x = 119,720.22
  5. Step 5: Solve for x
    x = 119,720.22/375.68
  6. Step 6: Final answer
    x = 318.68

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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.