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Finding the Fourth Proportional to 533.90, 736.49 and 367.82

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Solution

The fourth proportional to 533.90, 736.49 and 367.82 is: 507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.90 : 736.49 = 367.82 : x
  2. Step 2: Convert to fraction form
    533.90/736.49 = 367.82/x
  3. Step 3: Cross multiply
    533.90x = 736.49 × 367.82
  4. Step 4: Simplify right side
    533.90x = 270,898.51
  5. Step 5: Solve for x
    x = 270,898.51/533.90
  6. Step 6: Final answer
    x = 507.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.