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Finding the Fourth Proportional to 540.84, 810.90 and 266.57

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Solution

The fourth proportional to 540.84, 810.90 and 266.57 is: 399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 810.90 = 266.57 : x
  2. Step 2: Convert to fraction form
    540.84/810.90 = 266.57/x
  3. Step 3: Cross multiply
    540.84x = 810.90 × 266.57
  4. Step 4: Simplify right side
    540.84x = 216,157.56
  5. Step 5: Solve for x
    x = 216,157.56/540.84
  6. Step 6: Final answer
    x = 399.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.