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Finding the Fourth Proportional to 531.66, 733.70 and 298.79

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Solution

The fourth proportional to 531.66, 733.70 and 298.79 is: 412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.66 : 733.70 = 298.79 : x
  2. Step 2: Convert to fraction form
    531.66/733.70 = 298.79/x
  3. Step 3: Cross multiply
    531.66x = 733.70 × 298.79
  4. Step 4: Simplify right side
    531.66x = 219,217.06
  5. Step 5: Solve for x
    x = 219,217.06/531.66
  6. Step 6: Final answer
    x = 412.33

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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.