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Finding the Fourth Proportional to 485.30, 669.60 and 319.52

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Solution

The fourth proportional to 485.30, 669.60 and 319.52 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.30 : 669.60 = 319.52 : x
  2. Step 2: Convert to fraction form
    485.30/669.60 = 319.52/x
  3. Step 3: Cross multiply
    485.30x = 669.60 × 319.52
  4. Step 4: Simplify right side
    485.30x = 213,950.59
  5. Step 5: Solve for x
    x = 213,950.59/485.30
  6. Step 6: Final answer
    x = 440.86

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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.