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Finding the Fourth Proportional to 663.82, 915.69 and 539.62

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Solution

The fourth proportional to 663.82, 915.69 and 539.62 is: 744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.82 : 915.69 = 539.62 : x
  2. Step 2: Convert to fraction form
    663.82/915.69 = 539.62/x
  3. Step 3: Cross multiply
    663.82x = 915.69 × 539.62
  4. Step 4: Simplify right side
    663.82x = 494,124.64
  5. Step 5: Solve for x
    x = 494,124.64/663.82
  6. Step 6: Final answer
    x = 744.37

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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.