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Finding the Fourth Proportional to 466.98, 697.71 and 450.83

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Solution

The fourth proportional to 466.98, 697.71 and 450.83 is: 673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.98 : 697.71 = 450.83 : x
  2. Step 2: Convert to fraction form
    466.98/697.71 = 450.83/x
  3. Step 3: Cross multiply
    466.98x = 697.71 × 450.83
  4. Step 4: Simplify right side
    466.98x = 314,548.60
  5. Step 5: Solve for x
    x = 314,548.60/466.98
  6. Step 6: Final answer
    x = 673.58

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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.