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Finding the Fourth Proportional to 955.07, 1,431.91 and 305.43

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Solution

The fourth proportional to 955.07, 1,431.91 and 305.43 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.07 : 1,431.91 = 305.43 : x
  2. Step 2: Convert to fraction form
    955.07/1,431.91 = 305.43/x
  3. Step 3: Cross multiply
    955.07x = 1,431.91 × 305.43
  4. Step 4: Simplify right side
    955.07x = 437,346.74
  5. Step 5: Solve for x
    x = 437,346.74/955.07
  6. Step 6: Final answer
    x = 457.92

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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.