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Finding the Fourth Proportional to 330.47, 456.05 and 190.63

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Solution

The fourth proportional to 330.47, 456.05 and 190.63 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.47 : 456.05 = 190.63 : x
  2. Step 2: Convert to fraction form
    330.47/456.05 = 190.63/x
  3. Step 3: Cross multiply
    330.47x = 456.05 × 190.63
  4. Step 4: Simplify right side
    330.47x = 86,933.58
  5. Step 5: Solve for x
    x = 86,933.58/330.47
  6. Step 6: Final answer
    x = 263.06

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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.