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Finding the Fourth Proportional to 540.97, 810.50 and 378.32

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Solution

The fourth proportional to 540.97, 810.50 and 378.32 is: 566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.97 : 810.50 = 378.32 : x
  2. Step 2: Convert to fraction form
    540.97/810.50 = 378.32/x
  3. Step 3: Cross multiply
    540.97x = 810.50 × 378.32
  4. Step 4: Simplify right side
    540.97x = 306,622.42
  5. Step 5: Solve for x
    x = 306,622.42/540.97
  6. Step 6: Final answer
    x = 566.80

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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.