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Finding the Fourth Proportional to 336.10, 460.16 and 334.94

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Solution

The fourth proportional to 336.10, 460.16 and 334.94 is: 458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.10 : 460.16 = 334.94 : x
  2. Step 2: Convert to fraction form
    336.10/460.16 = 334.94/x
  3. Step 3: Cross multiply
    336.10x = 460.16 × 334.94
  4. Step 4: Simplify right side
    336.10x = 154,125.99
  5. Step 5: Solve for x
    x = 154,125.99/336.10
  6. Step 6: Final answer
    x = 458.57

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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.