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Finding the Fourth Proportional to 374.21, 516.35 and 214.71

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Solution

The fourth proportional to 374.21, 516.35 and 214.71 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.21 : 516.35 = 214.71 : x
  2. Step 2: Convert to fraction form
    374.21/516.35 = 214.71/x
  3. Step 3: Cross multiply
    374.21x = 516.35 × 214.71
  4. Step 4: Simplify right side
    374.21x = 110,867.14
  5. Step 5: Solve for x
    x = 110,867.14/374.21
  6. Step 6: Final answer
    x = 296.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.