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Finding the Fourth Proportional to 345.81, 478.12 and 330.51

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Solution

The fourth proportional to 345.81, 478.12 and 330.51 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.81 : 478.12 = 330.51 : x
  2. Step 2: Convert to fraction form
    345.81/478.12 = 330.51/x
  3. Step 3: Cross multiply
    345.81x = 478.12 × 330.51
  4. Step 4: Simplify right side
    345.81x = 158,023.44
  5. Step 5: Solve for x
    x = 158,023.44/345.81
  6. Step 6: Final answer
    x = 456.97

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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.