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Finding the Fourth Proportional to 540.92, 810.78 and 266.60

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Solution

The fourth proportional to 540.92, 810.78 and 266.60 is: 399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 810.78 = 266.60 : x
  2. Step 2: Convert to fraction form
    540.92/810.78 = 266.60/x
  3. Step 3: Cross multiply
    540.92x = 810.78 × 266.60
  4. Step 4: Simplify right side
    540.92x = 216,153.95
  5. Step 5: Solve for x
    x = 216,153.95/540.92
  6. Step 6: Final answer
    x = 399.60

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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.