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Finding the Fourth Proportional to 334.12, 460.61 and 259.54

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Solution

The fourth proportional to 334.12, 460.61 and 259.54 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.12 : 460.61 = 259.54 : x
  2. Step 2: Convert to fraction form
    334.12/460.61 = 259.54/x
  3. Step 3: Cross multiply
    334.12x = 460.61 × 259.54
  4. Step 4: Simplify right side
    334.12x = 119,543.77
  5. Step 5: Solve for x
    x = 119,543.77/334.12
  6. Step 6: Final answer
    x = 357.78

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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.