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Finding the Fourth Proportional to 466.08, 643.14 and 333.06

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Solution

The fourth proportional to 466.08, 643.14 and 333.06 is: 459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.08 : 643.14 = 333.06 : x
  2. Step 2: Convert to fraction form
    466.08/643.14 = 333.06/x
  3. Step 3: Cross multiply
    466.08x = 643.14 × 333.06
  4. Step 4: Simplify right side
    466.08x = 214,204.21
  5. Step 5: Solve for x
    x = 214,204.21/466.08
  6. Step 6: Final answer
    x = 459.59

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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.