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Finding the Fourth Proportional to 485.37, 669.52 and 310.71

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Solution

The fourth proportional to 485.37, 669.52 and 310.71 is: 428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.37 : 669.52 = 310.71 : x
  2. Step 2: Convert to fraction form
    485.37/669.52 = 310.71/x
  3. Step 3: Cross multiply
    485.37x = 669.52 × 310.71
  4. Step 4: Simplify right side
    485.37x = 208,026.56
  5. Step 5: Solve for x
    x = 208,026.56/485.37
  6. Step 6: Final answer
    x = 428.59

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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.