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Finding the Fourth Proportional to 493.98, 681.39 and 304.89

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Solution

The fourth proportional to 493.98, 681.39 and 304.89 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.98 : 681.39 = 304.89 : x
  2. Step 2: Convert to fraction form
    493.98/681.39 = 304.89/x
  3. Step 3: Cross multiply
    493.98x = 681.39 × 304.89
  4. Step 4: Simplify right side
    493.98x = 207,749.00
  5. Step 5: Solve for x
    x = 207,749.00/493.98
  6. Step 6: Final answer
    x = 420.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.