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Finding the Fourth Proportional to 531.89, 734.36 and 333.02

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Solution

The fourth proportional to 531.89, 734.36 and 333.02 is: 459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.89 : 734.36 = 333.02 : x
  2. Step 2: Convert to fraction form
    531.89/734.36 = 333.02/x
  3. Step 3: Cross multiply
    531.89x = 734.36 × 333.02
  4. Step 4: Simplify right side
    531.89x = 244,559.24
  5. Step 5: Solve for x
    x = 244,559.24/531.89
  6. Step 6: Final answer
    x = 459.79

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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.