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Finding the Fourth Proportional to 394.47, 589.01 and 333.63

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Solution

The fourth proportional to 394.47, 589.01 and 333.63 is: 498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.47 : 589.01 = 333.63 : x
  2. Step 2: Convert to fraction form
    394.47/589.01 = 333.63/x
  3. Step 3: Cross multiply
    394.47x = 589.01 × 333.63
  4. Step 4: Simplify right side
    394.47x = 196,509.74
  5. Step 5: Solve for x
    x = 196,509.74/394.47
  6. Step 6: Final answer
    x = 498.16

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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.