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Finding the Fourth Proportional to 485.87, 670.39 and 328.80

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Solution

The fourth proportional to 485.87, 670.39 and 328.80 is: 453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.87 : 670.39 = 328.80 : x
  2. Step 2: Convert to fraction form
    485.87/670.39 = 328.80/x
  3. Step 3: Cross multiply
    485.87x = 670.39 × 328.80
  4. Step 4: Simplify right side
    485.87x = 220,424.23
  5. Step 5: Solve for x
    x = 220,424.23/485.87
  6. Step 6: Final answer
    x = 453.67

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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.