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Finding the Fourth Proportional to 535.33, 737.22 and 460.04

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Solution

The fourth proportional to 535.33, 737.22 and 460.04 is: 633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.33 : 737.22 = 460.04 : x
  2. Step 2: Convert to fraction form
    535.33/737.22 = 460.04/x
  3. Step 3: Cross multiply
    535.33x = 737.22 × 460.04
  4. Step 4: Simplify right side
    535.33x = 339,150.69
  5. Step 5: Solve for x
    x = 339,150.69/535.33
  6. Step 6: Final answer
    x = 633.54

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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.