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Finding the Fourth Proportional to 531.82, 733.96 and 299

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Solution

The fourth proportional to 531.82, 733.96 and 299 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 733.96 = 299 : x
  2. Step 2: Convert to fraction form
    531.82/733.96 = 299/x
  3. Step 3: Cross multiply
    531.82x = 733.96 × 299
  4. Step 4: Simplify right side
    531.82x = 219,454.04
  5. Step 5: Solve for x
    x = 219,454.04/531.82
  6. Step 6: Final answer
    x = 412.65

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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.