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Finding the Fourth Proportional to 375.42, 562.69 and 213.22

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Solution

The fourth proportional to 375.42, 562.69 and 213.22 is: 319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.42 : 562.69 = 213.22 : x
  2. Step 2: Convert to fraction form
    375.42/562.69 = 213.22/x
  3. Step 3: Cross multiply
    375.42x = 562.69 × 213.22
  4. Step 4: Simplify right side
    375.42x = 119,976.76
  5. Step 5: Solve for x
    x = 119,976.76/375.42
  6. Step 6: Final answer
    x = 319.58

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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.