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Finding the Fourth Proportional to 956.51, 1,433.84 and 306.80

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Solution

The fourth proportional to 956.51, 1,433.84 and 306.80 is: 459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.51 : 1,433.84 = 306.80 : x
  2. Step 2: Convert to fraction form
    956.51/1,433.84 = 306.80/x
  3. Step 3: Cross multiply
    956.51x = 1,433.84 × 306.80
  4. Step 4: Simplify right side
    956.51x = 439,894.94
  5. Step 5: Solve for x
    x = 439,894.94/956.51
  6. Step 6: Final answer
    x = 459.90

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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.