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Finding the Fourth Proportional to 466.32, 642.90 and 451.20

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Solution

The fourth proportional to 466.32, 642.90 and 451.20 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 642.90 = 451.20 : x
  2. Step 2: Convert to fraction form
    466.32/642.90 = 451.20/x
  3. Step 3: Cross multiply
    466.32x = 642.90 × 451.20
  4. Step 4: Simplify right side
    466.32x = 290,076.48
  5. Step 5: Solve for x
    x = 290,076.48/466.32
  6. Step 6: Final answer
    x = 622.05

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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.