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Finding the Fourth Proportional to 330.44, 455.02 and 260.78

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Solution

The fourth proportional to 330.44, 455.02 and 260.78 is: 359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.44 : 455.02 = 260.78 : x
  2. Step 2: Convert to fraction form
    330.44/455.02 = 260.78/x
  3. Step 3: Cross multiply
    330.44x = 455.02 × 260.78
  4. Step 4: Simplify right side
    330.44x = 118,657.19
  5. Step 5: Solve for x
    x = 118,657.19/330.44
  6. Step 6: Final answer
    x = 359.09

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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.