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Finding the Fourth Proportional to 540.40, 810.38 and 193.60

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Solution

The fourth proportional to 540.40, 810.38 and 193.60 is: 290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.40 : 810.38 = 193.60 : x
  2. Step 2: Convert to fraction form
    540.40/810.38 = 193.60/x
  3. Step 3: Cross multiply
    540.40x = 810.38 × 193.60
  4. Step 4: Simplify right side
    540.40x = 156,889.57
  5. Step 5: Solve for x
    x = 156,889.57/540.40
  6. Step 6: Final answer
    x = 290.32

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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.