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Finding the Fourth Proportional to 466.58, 643.74 and 333.84

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Solution

The fourth proportional to 466.58, 643.74 and 333.84 is: 460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.58 : 643.74 = 333.84 : x
  2. Step 2: Convert to fraction form
    466.58/643.74 = 333.84/x
  3. Step 3: Cross multiply
    466.58x = 643.74 × 333.84
  4. Step 4: Simplify right side
    466.58x = 214,906.16
  5. Step 5: Solve for x
    x = 214,906.16/466.58
  6. Step 6: Final answer
    x = 460.60

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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.