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Finding the Fourth Proportional to 333.19, 460.62 and 330.07

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Solution

The fourth proportional to 333.19, 460.62 and 330.07 is: 456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.19 : 460.62 = 330.07 : x
  2. Step 2: Convert to fraction form
    333.19/460.62 = 330.07/x
  3. Step 3: Cross multiply
    333.19x = 460.62 × 330.07
  4. Step 4: Simplify right side
    333.19x = 152,036.84
  5. Step 5: Solve for x
    x = 152,036.84/333.19
  6. Step 6: Final answer
    x = 456.31

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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.