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Finding the Fourth Proportional to 466.44, 642.38 and 374.91

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Solution

The fourth proportional to 466.44, 642.38 and 374.91 is: 516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.44 : 642.38 = 374.91 : x
  2. Step 2: Convert to fraction form
    466.44/642.38 = 374.91/x
  3. Step 3: Cross multiply
    466.44x = 642.38 × 374.91
  4. Step 4: Simplify right side
    466.44x = 240,832.81
  5. Step 5: Solve for x
    x = 240,832.81/466.44
  6. Step 6: Final answer
    x = 516.32

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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.