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Finding the Fourth Proportional to 334.49, 460.64 and 333.48

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Solution

The fourth proportional to 334.49, 460.64 and 333.48 is: 459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.49 : 460.64 = 333.48 : x
  2. Step 2: Convert to fraction form
    334.49/460.64 = 333.48/x
  3. Step 3: Cross multiply
    334.49x = 460.64 × 333.48
  4. Step 4: Simplify right side
    334.49x = 153,615.06
  5. Step 5: Solve for x
    x = 153,615.06/334.49
  6. Step 6: Final answer
    x = 459.25

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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.