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Finding the Fourth Proportional to 531.80, 733.88 and 298.92

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Solution

The fourth proportional to 531.80, 733.88 and 298.92 is: 412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.80 : 733.88 = 298.92 : x
  2. Step 2: Convert to fraction form
    531.80/733.88 = 298.92/x
  3. Step 3: Cross multiply
    531.80x = 733.88 × 298.92
  4. Step 4: Simplify right side
    531.80x = 219,369.92
  5. Step 5: Solve for x
    x = 219,369.92/531.80
  6. Step 6: Final answer
    x = 412.51

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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.