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Finding the Fourth Proportional to 531.97, 734.06 and 310.84

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Solution

The fourth proportional to 531.97, 734.06 and 310.84 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.97 : 734.06 = 310.84 : x
  2. Step 2: Convert to fraction form
    531.97/734.06 = 310.84/x
  3. Step 3: Cross multiply
    531.97x = 734.06 × 310.84
  4. Step 4: Simplify right side
    531.97x = 228,174.15
  5. Step 5: Solve for x
    x = 228,174.15/531.97
  6. Step 6: Final answer
    x = 428.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.