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Finding the Fourth Proportional to 955.24, 1,432.96 and 305.82

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Solution

The fourth proportional to 955.24, 1,432.96 and 305.82 is: 458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.24 : 1,432.96 = 305.82 : x
  2. Step 2: Convert to fraction form
    955.24/1,432.96 = 305.82/x
  3. Step 3: Cross multiply
    955.24x = 1,432.96 × 305.82
  4. Step 4: Simplify right side
    955.24x = 438,227.06
  5. Step 5: Solve for x
    x = 438,227.06/955.24
  6. Step 6: Final answer
    x = 458.76

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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.