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Finding the Fourth Proportional to 531.86, 798.06 and 378.23

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Solution

The fourth proportional to 531.86, 798.06 and 378.23 is: 567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.86 : 798.06 = 378.23 : x
  2. Step 2: Convert to fraction form
    531.86/798.06 = 378.23/x
  3. Step 3: Cross multiply
    531.86x = 798.06 × 378.23
  4. Step 4: Simplify right side
    531.86x = 301,850.23
  5. Step 5: Solve for x
    x = 301,850.23/531.86
  6. Step 6: Final answer
    x = 567.54

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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.