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Finding the Fourth Proportional to 466.09, 697.54 and 446.96

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Solution

The fourth proportional to 466.09, 697.54 and 446.96 is: 668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 697.54 = 446.96 : x
  2. Step 2: Convert to fraction form
    466.09/697.54 = 446.96/x
  3. Step 3: Cross multiply
    466.09x = 697.54 × 446.96
  4. Step 4: Simplify right side
    466.09x = 311,772.48
  5. Step 5: Solve for x
    x = 311,772.48/466.09
  6. Step 6: Final answer
    x = 668.91

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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.