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Finding the Fourth Proportional to 523.40, 784.62 and 266.60

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Solution

The fourth proportional to 523.40, 784.62 and 266.60 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 784.62 = 266.60 : x
  2. Step 2: Convert to fraction form
    523.40/784.62 = 266.60/x
  3. Step 3: Cross multiply
    523.40x = 784.62 × 266.60
  4. Step 4: Simplify right side
    523.40x = 209,179.69
  5. Step 5: Solve for x
    x = 209,179.69/523.40
  6. Step 6: Final answer
    x = 399.66

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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.