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Finding the Fourth Proportional to 447.91, 670.68 and 310.34

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Solution

The fourth proportional to 447.91, 670.68 and 310.34 is: 464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.91 : 670.68 = 310.34 : x
  2. Step 2: Convert to fraction form
    447.91/670.68 = 310.34/x
  3. Step 3: Cross multiply
    447.91x = 670.68 × 310.34
  4. Step 4: Simplify right side
    447.91x = 208,140.51
  5. Step 5: Solve for x
    x = 208,140.51/447.91
  6. Step 6: Final answer
    x = 464.70

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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.