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Finding the Fourth Proportional to 466.80, 697.26 and 464.64

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Solution

The fourth proportional to 466.80, 697.26 and 464.64 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.80 : 697.26 = 464.64 : x
  2. Step 2: Convert to fraction form
    466.80/697.26 = 464.64/x
  3. Step 3: Cross multiply
    466.80x = 697.26 × 464.64
  4. Step 4: Simplify right side
    466.80x = 323,974.89
  5. Step 5: Solve for x
    x = 323,974.89/466.80
  6. Step 6: Final answer
    x = 694.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.