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Finding the Fourth Proportional to 578.92, 798.68 and 330.19

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Solution

The fourth proportional to 578.92, 798.68 and 330.19 is: 455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 798.68 = 330.19 : x
  2. Step 2: Convert to fraction form
    578.92/798.68 = 330.19/x
  3. Step 3: Cross multiply
    578.92x = 798.68 × 330.19
  4. Step 4: Simplify right side
    578.92x = 263,714.50
  5. Step 5: Solve for x
    x = 263,714.50/578.92
  6. Step 6: Final answer
    x = 455.53

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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.