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Finding the Fourth Proportional to 330.06, 455.01 and 225.01

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Solution

The fourth proportional to 330.06, 455.01 and 225.01 is: 310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.06 : 455.01 = 225.01 : x
  2. Step 2: Convert to fraction form
    330.06/455.01 = 225.01/x
  3. Step 3: Cross multiply
    330.06x = 455.01 × 225.01
  4. Step 4: Simplify right side
    330.06x = 102,384.65
  5. Step 5: Solve for x
    x = 102,384.65/330.06
  6. Step 6: Final answer
    x = 310.20

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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.