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Finding the Fourth Proportional to 531.78, 796.61 and 415.65

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Solution

The fourth proportional to 531.78, 796.61 and 415.65 is: 622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.78 : 796.61 = 415.65 : x
  2. Step 2: Convert to fraction form
    531.78/796.61 = 415.65/x
  3. Step 3: Cross multiply
    531.78x = 796.61 × 415.65
  4. Step 4: Simplify right side
    531.78x = 331,111.99
  5. Step 5: Solve for x
    x = 331,111.99/531.78
  6. Step 6: Final answer
    x = 622.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.