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Finding the Fourth Proportional to 531.24, 792.42 and 523.14

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Solution

The fourth proportional to 531.24, 792.42 and 523.14 is: 780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 792.42 = 523.14 : x
  2. Step 2: Convert to fraction form
    531.24/792.42 = 523.14/x
  3. Step 3: Cross multiply
    531.24x = 792.42 × 523.14
  4. Step 4: Simplify right side
    531.24x = 414,546.60
  5. Step 5: Solve for x
    x = 414,546.60/531.24
  6. Step 6: Final answer
    x = 780.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.