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Finding the Fourth Proportional to 531.56, 734.46 and 438.14

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Solution

The fourth proportional to 531.56, 734.46 and 438.14 is: 605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 734.46 = 438.14 : x
  2. Step 2: Convert to fraction form
    531.56/734.46 = 438.14/x
  3. Step 3: Cross multiply
    531.56x = 734.46 × 438.14
  4. Step 4: Simplify right side
    531.56x = 321,796.30
  5. Step 5: Solve for x
    x = 321,796.30/531.56
  6. Step 6: Final answer
    x = 605.38

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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.