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Finding the Fourth Proportional to 464.16, 640.80 and 322.62

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Solution

The fourth proportional to 464.16, 640.80 and 322.62 is: 445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 640.80 = 322.62 : x
  2. Step 2: Convert to fraction form
    464.16/640.80 = 322.62/x
  3. Step 3: Cross multiply
    464.16x = 640.80 × 322.62
  4. Step 4: Simplify right side
    464.16x = 206,734.90
  5. Step 5: Solve for x
    x = 206,734.90/464.16
  6. Step 6: Final answer
    x = 445.40

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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.