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Finding the Fourth Proportional to 553.81, 832.24 and 533.31

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Solution

The fourth proportional to 553.81, 832.24 and 533.31 is: 801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.81 : 832.24 = 533.31 : x
  2. Step 2: Convert to fraction form
    553.81/832.24 = 533.31/x
  3. Step 3: Cross multiply
    553.81x = 832.24 × 533.31
  4. Step 4: Simplify right side
    553.81x = 443,839.55
  5. Step 5: Solve for x
    x = 443,839.55/553.81
  6. Step 6: Final answer
    x = 801.43

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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.