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Finding the Fourth Proportional to 687.44, 947.92 and 466.01

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Solution

The fourth proportional to 687.44, 947.92 and 466.01 is: 642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.44 : 947.92 = 466.01 : x
  2. Step 2: Convert to fraction form
    687.44/947.92 = 466.01/x
  3. Step 3: Cross multiply
    687.44x = 947.92 × 466.01
  4. Step 4: Simplify right side
    687.44x = 441,740.20
  5. Step 5: Solve for x
    x = 441,740.20/687.44
  6. Step 6: Final answer
    x = 642.59

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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.