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Finding the Fourth Proportional to 450.28, 675.30 and 319.90

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Solution

The fourth proportional to 450.28, 675.30 and 319.90 is: 479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.28 : 675.30 = 319.90 : x
  2. Step 2: Convert to fraction form
    450.28/675.30 = 319.90/x
  3. Step 3: Cross multiply
    450.28x = 675.30 × 319.90
  4. Step 4: Simplify right side
    450.28x = 216,028.47
  5. Step 5: Solve for x
    x = 216,028.47/450.28
  6. Step 6: Final answer
    x = 479.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.