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Finding the Fourth Proportional to 324.84, 488.20 and 303.20

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Solution

The fourth proportional to 324.84, 488.20 and 303.20 is: 455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.84 : 488.20 = 303.20 : x
  2. Step 2: Convert to fraction form
    324.84/488.20 = 303.20/x
  3. Step 3: Cross multiply
    324.84x = 488.20 × 303.20
  4. Step 4: Simplify right side
    324.84x = 148,022.24
  5. Step 5: Solve for x
    x = 148,022.24/324.84
  6. Step 6: Final answer
    x = 455.68

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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.