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Finding the Fourth Proportional to 491.98, 736.23 and 395.11

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Solution

The fourth proportional to 491.98, 736.23 and 395.11 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.98 : 736.23 = 395.11 : x
  2. Step 2: Convert to fraction form
    491.98/736.23 = 395.11/x
  3. Step 3: Cross multiply
    491.98x = 736.23 × 395.11
  4. Step 4: Simplify right side
    491.98x = 290,891.84
  5. Step 5: Solve for x
    x = 290,891.84/491.98
  6. Step 6: Final answer
    x = 591.27

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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.