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Finding the Fourth Proportional to 956.24, 1,433.80 and 306.64

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Solution

The fourth proportional to 956.24, 1,433.80 and 306.64 is: 459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.24 : 1,433.80 = 306.64 : x
  2. Step 2: Convert to fraction form
    956.24/1,433.80 = 306.64/x
  3. Step 3: Cross multiply
    956.24x = 1,433.80 × 306.64
  4. Step 4: Simplify right side
    956.24x = 439,660.43
  5. Step 5: Solve for x
    x = 439,660.43/956.24
  6. Step 6: Final answer
    x = 459.78

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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.