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Finding the Fourth Proportional to 345.30, 516.76 and 330.95

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Solution

The fourth proportional to 345.30, 516.76 and 330.95 is: 495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.30 : 516.76 = 330.95 : x
  2. Step 2: Convert to fraction form
    345.30/516.76 = 330.95/x
  3. Step 3: Cross multiply
    345.30x = 516.76 × 330.95
  4. Step 4: Simplify right side
    345.30x = 171,022.19
  5. Step 5: Solve for x
    x = 171,022.19/345.30
  6. Step 6: Final answer
    x = 495.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.