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Finding the Fourth Proportional to 965.30, 1,447.64 and 348.92

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Solution

The fourth proportional to 965.30, 1,447.64 and 348.92 is: 523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.30 : 1,447.64 = 348.92 : x
  2. Step 2: Convert to fraction form
    965.30/1,447.64 = 348.92/x
  3. Step 3: Cross multiply
    965.30x = 1,447.64 × 348.92
  4. Step 4: Simplify right side
    965.30x = 505,110.55
  5. Step 5: Solve for x
    x = 505,110.55/965.30
  6. Step 6: Final answer
    x = 523.27

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Why These Related Problems?

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