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Finding the Fourth Proportional to 334.14, 460.62 and 260.30

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Solution

The fourth proportional to 334.14, 460.62 and 260.30 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.14 : 460.62 = 260.30 : x
  2. Step 2: Convert to fraction form
    334.14/460.62 = 260.30/x
  3. Step 3: Cross multiply
    334.14x = 460.62 × 260.30
  4. Step 4: Simplify right side
    334.14x = 119,899.39
  5. Step 5: Solve for x
    x = 119,899.39/334.14
  6. Step 6: Final answer
    x = 358.83

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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.