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Finding the Fourth Proportional to 523.30, 784.71 and 361.06

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Solution

The fourth proportional to 523.30, 784.71 and 361.06 is: 541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.30 : 784.71 = 361.06 : x
  2. Step 2: Convert to fraction form
    523.30/784.71 = 361.06/x
  3. Step 3: Cross multiply
    523.30x = 784.71 × 361.06
  4. Step 4: Simplify right side
    523.30x = 283,327.39
  5. Step 5: Solve for x
    x = 283,327.39/523.30
  6. Step 6: Final answer
    x = 541.42

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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.