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Finding the Fourth Proportional to 733.02, 1,011.49 and 438.24

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Solution

The fourth proportional to 733.02, 1,011.49 and 438.24 is: 604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,011.49 = 438.24 : x
  2. Step 2: Convert to fraction form
    733.02/1,011.49 = 438.24/x
  3. Step 3: Cross multiply
    733.02x = 1,011.49 × 438.24
  4. Step 4: Simplify right side
    733.02x = 443,278.08
  5. Step 5: Solve for x
    x = 443,278.08/733.02
  6. Step 6: Final answer
    x = 604.73

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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.