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Finding the Fourth Proportional to 531.82, 798.08 and 189.82

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Solution

The fourth proportional to 531.82, 798.08 and 189.82 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 798.08 = 189.82 : x
  2. Step 2: Convert to fraction form
    531.82/798.08 = 189.82/x
  3. Step 3: Cross multiply
    531.82x = 798.08 × 189.82
  4. Step 4: Simplify right side
    531.82x = 151,490.60
  5. Step 5: Solve for x
    x = 151,490.60/531.82
  6. Step 6: Final answer
    x = 284.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.