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Finding the Fourth Proportional to 595, 892.49 and 491.32

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Solution

The fourth proportional to 595, 892.49 and 491.32 is: 736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    595 : 892.49 = 491.32 : x
  2. Step 2: Convert to fraction form
    595/892.49 = 491.32/x
  3. Step 3: Cross multiply
    595x = 892.49 × 491.32
  4. Step 4: Simplify right side
    595x = 438,498.19
  5. Step 5: Solve for x
    x = 438,498.19/595
  6. Step 6: Final answer
    x = 736.97

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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.