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Finding the Fourth Proportional to 406.70, 611.85 and 381.14

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Solution

The fourth proportional to 406.70, 611.85 and 381.14 is: 573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.70 : 611.85 = 381.14 : x
  2. Step 2: Convert to fraction form
    406.70/611.85 = 381.14/x
  3. Step 3: Cross multiply
    406.70x = 611.85 × 381.14
  4. Step 4: Simplify right side
    406.70x = 233,200.51
  5. Step 5: Solve for x
    x = 233,200.51/406.70
  6. Step 6: Final answer
    x = 573.40

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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.