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Finding the Fourth Proportional to 665.37, 996.68 and 390.63

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Solution

The fourth proportional to 665.37, 996.68 and 390.63 is: 585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.37 : 996.68 = 390.63 : x
  2. Step 2: Convert to fraction form
    665.37/996.68 = 390.63/x
  3. Step 3: Cross multiply
    665.37x = 996.68 × 390.63
  4. Step 4: Simplify right side
    665.37x = 389,331.16
  5. Step 5: Solve for x
    x = 389,331.16/665.37
  6. Step 6: Final answer
    x = 585.14

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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.