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Finding the Fourth Proportional to 955.71, 1,433.73 and 339.77

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Solution

The fourth proportional to 955.71, 1,433.73 and 339.77 is: 509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.71 : 1,433.73 = 339.77 : x
  2. Step 2: Convert to fraction form
    955.71/1,433.73 = 339.77/x
  3. Step 3: Cross multiply
    955.71x = 1,433.73 × 339.77
  4. Step 4: Simplify right side
    955.71x = 487,138.44
  5. Step 5: Solve for x
    x = 487,138.44/955.71
  6. Step 6: Final answer
    x = 509.71

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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.