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Finding the Fourth Proportional to 965.25, 1,447.93 and 307.08

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Solution

The fourth proportional to 965.25, 1,447.93 and 307.08 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.25 : 1,447.93 = 307.08 : x
  2. Step 2: Convert to fraction form
    965.25/1,447.93 = 307.08/x
  3. Step 3: Cross multiply
    965.25x = 1,447.93 × 307.08
  4. Step 4: Simplify right side
    965.25x = 444,630.34
  5. Step 5: Solve for x
    x = 444,630.34/965.25
  6. Step 6: Final answer
    x = 460.64

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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.