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Finding the Fourth Proportional to 334.18, 460.51 and 235.63

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Solution

The fourth proportional to 334.18, 460.51 and 235.63 is: 324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.18 : 460.51 = 235.63 : x
  2. Step 2: Convert to fraction form
    334.18/460.51 = 235.63/x
  3. Step 3: Cross multiply
    334.18x = 460.51 × 235.63
  4. Step 4: Simplify right side
    334.18x = 108,509.97
  5. Step 5: Solve for x
    x = 108,509.97/334.18
  6. Step 6: Final answer
    x = 324.71

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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.