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Finding the Fourth Proportional to 336.08, 500.74 and 314

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Solution

The fourth proportional to 336.08, 500.74 and 314 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.08 : 500.74 = 314 : x
  2. Step 2: Convert to fraction form
    336.08/500.74 = 314/x
  3. Step 3: Cross multiply
    336.08x = 500.74 × 314
  4. Step 4: Simplify right side
    336.08x = 157,232.36
  5. Step 5: Solve for x
    x = 157,232.36/336.08
  6. Step 6: Final answer
    x = 467.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.