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Finding the Fourth Proportional to 321.60, 479.20 and 309.44

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Solution

The fourth proportional to 321.60, 479.20 and 309.44 is: 461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.60 : 479.20 = 309.44 : x
  2. Step 2: Convert to fraction form
    321.60/479.20 = 309.44/x
  3. Step 3: Cross multiply
    321.60x = 479.20 × 309.44
  4. Step 4: Simplify right side
    321.60x = 148,283.65
  5. Step 5: Solve for x
    x = 148,283.65/321.60
  6. Step 6: Final answer
    x = 461.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.