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Finding the Fourth Proportional to 687.94, 950.16 and 466.50

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Solution

The fourth proportional to 687.94, 950.16 and 466.50 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 950.16 = 466.50 : x
  2. Step 2: Convert to fraction form
    687.94/950.16 = 466.50/x
  3. Step 3: Cross multiply
    687.94x = 950.16 × 466.50
  4. Step 4: Simplify right side
    687.94x = 443,249.64
  5. Step 5: Solve for x
    x = 443,249.64/687.94
  6. Step 6: Final answer
    x = 644.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.