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Finding the Fourth Proportional to 334.80, 460.08 and 334.80

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Solution

The fourth proportional to 334.80, 460.08 and 334.80 is: 460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 460.08 = 334.80 : x
  2. Step 2: Convert to fraction form
    334.80/460.08 = 334.80/x
  3. Step 3: Cross multiply
    334.80x = 460.08 × 334.80
  4. Step 4: Simplify right side
    334.80x = 154,034.78
  5. Step 5: Solve for x
    x = 154,034.78/334.80
  6. Step 6: Final answer
    x = 460.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.