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Finding the Fourth Proportional to 464.25, 640.93 and 322.66

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Solution

The fourth proportional to 464.25, 640.93 and 322.66 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.25 : 640.93 = 322.66 : x
  2. Step 2: Convert to fraction form
    464.25/640.93 = 322.66/x
  3. Step 3: Cross multiply
    464.25x = 640.93 × 322.66
  4. Step 4: Simplify right side
    464.25x = 206,802.47
  5. Step 5: Solve for x
    x = 206,802.47/464.25
  6. Step 6: Final answer
    x = 445.45

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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.