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Finding the Fourth Proportional to 955.93, 1,433.39 and 306.58

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Solution

The fourth proportional to 955.93, 1,433.39 and 306.58 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.93 : 1,433.39 = 306.58 : x
  2. Step 2: Convert to fraction form
    955.93/1,433.39 = 306.58/x
  3. Step 3: Cross multiply
    955.93x = 1,433.39 × 306.58
  4. Step 4: Simplify right side
    955.93x = 439,448.71
  5. Step 5: Solve for x
    x = 439,448.71/955.93
  6. Step 6: Final answer
    x = 459.71

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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.