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Finding the Fourth Proportional to 965.08, 1,447.31 and 348.70

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Solution

The fourth proportional to 965.08, 1,447.31 and 348.70 is: 522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.08 : 1,447.31 = 348.70 : x
  2. Step 2: Convert to fraction form
    965.08/1,447.31 = 348.70/x
  3. Step 3: Cross multiply
    965.08x = 1,447.31 × 348.70
  4. Step 4: Simplify right side
    965.08x = 504,677.00
  5. Step 5: Solve for x
    x = 504,677.00/965.08
  6. Step 6: Final answer
    x = 522.94

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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.