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Finding the Fourth Proportional to 405.14, 607.71 and 213.14

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Solution

The fourth proportional to 405.14, 607.71 and 213.14 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.14 : 607.71 = 213.14 : x
  2. Step 2: Convert to fraction form
    405.14/607.71 = 213.14/x
  3. Step 3: Cross multiply
    405.14x = 607.71 × 213.14
  4. Step 4: Simplify right side
    405.14x = 129,527.31
  5. Step 5: Solve for x
    x = 129,527.31/405.14
  6. Step 6: Final answer
    x = 319.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.