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Finding the Fourth Proportional to 485.40, 669.85 and 319.71

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Solution

The fourth proportional to 485.40, 669.85 and 319.71 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.40 : 669.85 = 319.71 : x
  2. Step 2: Convert to fraction form
    485.40/669.85 = 319.71/x
  3. Step 3: Cross multiply
    485.40x = 669.85 × 319.71
  4. Step 4: Simplify right side
    485.40x = 214,157.74
  5. Step 5: Solve for x
    x = 214,157.74/485.40
  6. Step 6: Final answer
    x = 441.20

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