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Finding the Fourth Proportional to 334.11, 460.53 and 264.03

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Solution

The fourth proportional to 334.11, 460.53 and 264.03 is: 363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.11 : 460.53 = 264.03 : x
  2. Step 2: Convert to fraction form
    334.11/460.53 = 264.03/x
  3. Step 3: Cross multiply
    334.11x = 460.53 × 264.03
  4. Step 4: Simplify right side
    334.11x = 121,593.74
  5. Step 5: Solve for x
    x = 121,593.74/334.11
  6. Step 6: Final answer
    x = 363.93

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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.