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Finding the Fourth Proportional to 531.71, 733.77 and 298.83

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Solution

The fourth proportional to 531.71, 733.77 and 298.83 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.71 : 733.77 = 298.83 : x
  2. Step 2: Convert to fraction form
    531.71/733.77 = 298.83/x
  3. Step 3: Cross multiply
    531.71x = 733.77 × 298.83
  4. Step 4: Simplify right side
    531.71x = 219,272.49
  5. Step 5: Solve for x
    x = 219,272.49/531.71
  6. Step 6: Final answer
    x = 412.40

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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.