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Finding the Fourth Proportional to 406.56, 609.66 and 284.88

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Solution

The fourth proportional to 406.56, 609.66 and 284.88 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 609.66 = 284.88 : x
  2. Step 2: Convert to fraction form
    406.56/609.66 = 284.88/x
  3. Step 3: Cross multiply
    406.56x = 609.66 × 284.88
  4. Step 4: Simplify right side
    406.56x = 173,679.94
  5. Step 5: Solve for x
    x = 173,679.94/406.56
  6. Step 6: Final answer
    x = 427.19

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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.