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Finding the Fourth Proportional to 531.53, 733.50 and 310.50

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Solution

The fourth proportional to 531.53, 733.50 and 310.50 is: 428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.53 : 733.50 = 310.50 : x
  2. Step 2: Convert to fraction form
    531.53/733.50 = 310.50/x
  3. Step 3: Cross multiply
    531.53x = 733.50 × 310.50
  4. Step 4: Simplify right side
    531.53x = 227,751.75
  5. Step 5: Solve for x
    x = 227,751.75/531.53
  6. Step 6: Final answer
    x = 428.48

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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.