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Finding the Fourth Proportional to 406.88, 610.37 and 187.45

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Solution

The fourth proportional to 406.88, 610.37 and 187.45 is: 281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 610.37 = 187.45 : x
  2. Step 2: Convert to fraction form
    406.88/610.37 = 187.45/x
  3. Step 3: Cross multiply
    406.88x = 610.37 × 187.45
  4. Step 4: Simplify right side
    406.88x = 114,412.10
  5. Step 5: Solve for x
    x = 114,412.10/406.88
  6. Step 6: Final answer
    x = 281.19

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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.