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Finding the Fourth Proportional to 531.40, 732.65 and 344.56

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Solution

The fourth proportional to 531.40, 732.65 and 344.56 is: 475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.40 : 732.65 = 344.56 : x
  2. Step 2: Convert to fraction form
    531.40/732.65 = 344.56/x
  3. Step 3: Cross multiply
    531.40x = 732.65 × 344.56
  4. Step 4: Simplify right side
    531.40x = 252,441.88
  5. Step 5: Solve for x
    x = 252,441.88/531.40
  6. Step 6: Final answer
    x = 475.05

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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.