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Finding the Fourth Proportional to 540.56, 810.23 and 418.45

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Solution

The fourth proportional to 540.56, 810.23 and 418.45 is: 627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.56 : 810.23 = 418.45 : x
  2. Step 2: Convert to fraction form
    540.56/810.23 = 418.45/x
  3. Step 3: Cross multiply
    540.56x = 810.23 × 418.45
  4. Step 4: Simplify right side
    540.56x = 339,036.63
  5. Step 5: Solve for x
    x = 339,036.63/540.56
  6. Step 6: Final answer
    x = 627.20

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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.