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Finding the Fourth Proportional to 531.13, 733 and 298.30

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Solution

The fourth proportional to 531.13, 733 and 298.30 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.13 : 733 = 298.30 : x
  2. Step 2: Convert to fraction form
    531.13/733 = 298.30/x
  3. Step 3: Cross multiply
    531.13x = 733 × 298.30
  4. Step 4: Simplify right side
    531.13x = 218,653.90
  5. Step 5: Solve for x
    x = 218,653.90/531.13
  6. Step 6: Final answer
    x = 411.68

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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.