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Finding the Fourth Proportional to 345.06, 476.49 and 234.81

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Solution

The fourth proportional to 345.06, 476.49 and 234.81 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.06 : 476.49 = 234.81 : x
  2. Step 2: Convert to fraction form
    345.06/476.49 = 234.81/x
  3. Step 3: Cross multiply
    345.06x = 476.49 × 234.81
  4. Step 4: Simplify right side
    345.06x = 111,884.62
  5. Step 5: Solve for x
    x = 111,884.62/345.06
  6. Step 6: Final answer
    x = 324.25

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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.