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Finding the Fourth Proportional to 485.24, 669.80 and 311.09

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Solution

The fourth proportional to 485.24, 669.80 and 311.09 is: 429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.24 : 669.80 = 311.09 : x
  2. Step 2: Convert to fraction form
    485.24/669.80 = 311.09/x
  3. Step 3: Cross multiply
    485.24x = 669.80 × 311.09
  4. Step 4: Simplify right side
    485.24x = 208,365.51
  5. Step 5: Solve for x
    x = 208,365.51/485.24
  6. Step 6: Final answer
    x = 429.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.