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Finding the Fourth Proportional to 406.88, 610.59 and 201.59

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Solution

The fourth proportional to 406.88, 610.59 and 201.59 is: 302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 610.59 = 201.59 : x
  2. Step 2: Convert to fraction form
    406.88/610.59 = 201.59/x
  3. Step 3: Cross multiply
    406.88x = 610.59 × 201.59
  4. Step 4: Simplify right side
    406.88x = 123,088.84
  5. Step 5: Solve for x
    x = 123,088.84/406.88
  6. Step 6: Final answer
    x = 302.52

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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.