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Finding the Fourth Proportional to 406.51, 608.99 and 200.84

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Solution

The fourth proportional to 406.51, 608.99 and 200.84 is: 300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.51 : 608.99 = 200.84 : x
  2. Step 2: Convert to fraction form
    406.51/608.99 = 200.84/x
  3. Step 3: Cross multiply
    406.51x = 608.99 × 200.84
  4. Step 4: Simplify right side
    406.51x = 122,307.01
  5. Step 5: Solve for x
    x = 122,307.01/406.51
  6. Step 6: Final answer
    x = 300.87

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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.