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Finding the Fourth Proportional to 491.49, 736.56 and 382.77

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Solution

The fourth proportional to 491.49, 736.56 and 382.77 is: 573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.49 : 736.56 = 382.77 : x
  2. Step 2: Convert to fraction form
    491.49/736.56 = 382.77/x
  3. Step 3: Cross multiply
    491.49x = 736.56 × 382.77
  4. Step 4: Simplify right side
    491.49x = 281,933.07
  5. Step 5: Solve for x
    x = 281,933.07/491.49
  6. Step 6: Final answer
    x = 573.63

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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.