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Finding the Fourth Proportional to 466.90, 695.96 and 461.43

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Solution

The fourth proportional to 466.90, 695.96 and 461.43 is: 687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.90 : 695.96 = 461.43 : x
  2. Step 2: Convert to fraction form
    466.90/695.96 = 461.43/x
  3. Step 3: Cross multiply
    466.90x = 695.96 × 461.43
  4. Step 4: Simplify right side
    466.90x = 321,136.25
  5. Step 5: Solve for x
    x = 321,136.25/466.90
  6. Step 6: Final answer
    x = 687.81

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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.