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Finding the Fourth Proportional to 466.96, 642.99 and 423.01

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Solution

The fourth proportional to 466.96, 642.99 and 423.01 is: 582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.96 : 642.99 = 423.01 : x
  2. Step 2: Convert to fraction form
    466.96/642.99 = 423.01/x
  3. Step 3: Cross multiply
    466.96x = 642.99 × 423.01
  4. Step 4: Simplify right side
    466.96x = 271,991.20
  5. Step 5: Solve for x
    x = 271,991.20/466.96
  6. Step 6: Final answer
    x = 582.47

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