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Finding the Fourth Proportional to 466.37, 698.87 and 440.40

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Solution

The fourth proportional to 466.37, 698.87 and 440.40 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.37 : 698.87 = 440.40 : x
  2. Step 2: Convert to fraction form
    466.37/698.87 = 440.40/x
  3. Step 3: Cross multiply
    466.37x = 698.87 × 440.40
  4. Step 4: Simplify right side
    466.37x = 307,780.15
  5. Step 5: Solve for x
    x = 307,780.15/466.37
  6. Step 6: Final answer
    x = 659.96

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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.