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Finding the Fourth Proportional to 406.72, 610.27 and 352.99

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Solution

The fourth proportional to 406.72, 610.27 and 352.99 is: 529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 610.27 = 352.99 : x
  2. Step 2: Convert to fraction form
    406.72/610.27 = 352.99/x
  3. Step 3: Cross multiply
    406.72x = 610.27 × 352.99
  4. Step 4: Simplify right side
    406.72x = 215,416.16
  5. Step 5: Solve for x
    x = 215,416.16/406.72
  6. Step 6: Final answer
    x = 529.65

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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.