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Finding the Fourth Proportional to 491.75, 736.26 and 406.12

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Solution

The fourth proportional to 491.75, 736.26 and 406.12 is: 608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.75 : 736.26 = 406.12 : x
  2. Step 2: Convert to fraction form
    491.75/736.26 = 406.12/x
  3. Step 3: Cross multiply
    491.75x = 736.26 × 406.12
  4. Step 4: Simplify right side
    491.75x = 299,009.91
  5. Step 5: Solve for x
    x = 299,009.91/491.75
  6. Step 6: Final answer
    x = 608.05

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