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Finding the Fourth Proportional to 955.67, 1,433.64 and 306.19

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Solution

The fourth proportional to 955.67, 1,433.64 and 306.19 is: 459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.67 : 1,433.64 = 306.19 : x
  2. Step 2: Convert to fraction form
    955.67/1,433.64 = 306.19/x
  3. Step 3: Cross multiply
    955.67x = 1,433.64 × 306.19
  4. Step 4: Simplify right side
    955.67x = 438,959.06
  5. Step 5: Solve for x
    x = 438,959.06/955.67
  6. Step 6: Final answer
    x = 459.32

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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.