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Finding the Fourth Proportional to 955.28, 1,431.84 and 407

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Solution

The fourth proportional to 955.28, 1,431.84 and 407 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.28 : 1,431.84 = 407 : x
  2. Step 2: Convert to fraction form
    955.28/1,431.84 = 407/x
  3. Step 3: Cross multiply
    955.28x = 1,431.84 × 407
  4. Step 4: Simplify right side
    955.28x = 582,758.88
  5. Step 5: Solve for x
    x = 582,758.88/955.28
  6. Step 6: Final answer
    x = 610.04

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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.