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Finding the Fourth Proportional to 466.48, 695.93 and 443.80

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Solution

The fourth proportional to 466.48, 695.93 and 443.80 is: 662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.48 : 695.93 = 443.80 : x
  2. Step 2: Convert to fraction form
    466.48/695.93 = 443.80/x
  3. Step 3: Cross multiply
    466.48x = 695.93 × 443.80
  4. Step 4: Simplify right side
    466.48x = 308,853.73
  5. Step 5: Solve for x
    x = 308,853.73/466.48
  6. Step 6: Final answer
    x = 662.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.