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Finding the Fourth Proportional to 553.97, 830.21 and 310.02

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Solution

The fourth proportional to 553.97, 830.21 and 310.02 is: 464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.97 : 830.21 = 310.02 : x
  2. Step 2: Convert to fraction form
    553.97/830.21 = 310.02/x
  3. Step 3: Cross multiply
    553.97x = 830.21 × 310.02
  4. Step 4: Simplify right side
    553.97x = 257,380.15
  5. Step 5: Solve for x
    x = 257,380.15/553.97
  6. Step 6: Final answer
    x = 464.61

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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.