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Finding the Fourth Proportional to 531.42, 733.16 and 310.30

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Solution

The fourth proportional to 531.42, 733.16 and 310.30 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.42 : 733.16 = 310.30 : x
  2. Step 2: Convert to fraction form
    531.42/733.16 = 310.30/x
  3. Step 3: Cross multiply
    531.42x = 733.16 × 310.30
  4. Step 4: Simplify right side
    531.42x = 227,499.55
  5. Step 5: Solve for x
    x = 227,499.55/531.42
  6. Step 6: Final answer
    x = 428.10

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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.