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Finding the Fourth Proportional to 466.22, 697.64 and 401.99

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Solution

The fourth proportional to 466.22, 697.64 and 401.99 is: 601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 697.64 = 401.99 : x
  2. Step 2: Convert to fraction form
    466.22/697.64 = 401.99/x
  3. Step 3: Cross multiply
    466.22x = 697.64 × 401.99
  4. Step 4: Simplify right side
    466.22x = 280,438.81
  5. Step 5: Solve for x
    x = 280,438.81/466.22
  6. Step 6: Final answer
    x = 601.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.