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Finding the Fourth Proportional to 470.42, 704.58 and 333.05

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Solution

The fourth proportional to 470.42, 704.58 and 333.05 is: 498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.42 : 704.58 = 333.05 : x
  2. Step 2: Convert to fraction form
    470.42/704.58 = 333.05/x
  3. Step 3: Cross multiply
    470.42x = 704.58 × 333.05
  4. Step 4: Simplify right side
    470.42x = 234,660.37
  5. Step 5: Solve for x
    x = 234,660.37/470.42
  6. Step 6: Final answer
    x = 498.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.