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Finding the Fourth Proportional to 531.40, 733.32 and 298.50

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Solution

The fourth proportional to 531.40, 733.32 and 298.50 is: 411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.40 : 733.32 = 298.50 : x
  2. Step 2: Convert to fraction form
    531.40/733.32 = 298.50/x
  3. Step 3: Cross multiply
    531.40x = 733.32 × 298.50
  4. Step 4: Simplify right side
    531.40x = 218,896.02
  5. Step 5: Solve for x
    x = 218,896.02/531.40
  6. Step 6: Final answer
    x = 411.92

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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.