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Finding the Fourth Proportional to 447.53, 669.61 and 310.84

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Solution

The fourth proportional to 447.53, 669.61 and 310.84 is: 465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.53 : 669.61 = 310.84 : x
  2. Step 2: Convert to fraction form
    447.53/669.61 = 310.84/x
  3. Step 3: Cross multiply
    447.53x = 669.61 × 310.84
  4. Step 4: Simplify right side
    447.53x = 208,141.57
  5. Step 5: Solve for x
    x = 208,141.57/447.53
  6. Step 6: Final answer
    x = 465.09

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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.