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Finding the Fourth Proportional to 404.76, 607.43 and 231.57

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Solution

The fourth proportional to 404.76, 607.43 and 231.57 is: 347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.76 : 607.43 = 231.57 : x
  2. Step 2: Convert to fraction form
    404.76/607.43 = 231.57/x
  3. Step 3: Cross multiply
    404.76x = 607.43 × 231.57
  4. Step 4: Simplify right side
    404.76x = 140,662.57
  5. Step 5: Solve for x
    x = 140,662.57/404.76
  6. Step 6: Final answer
    x = 347.52

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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.