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Finding the Fourth Proportional to 406.99, 561.51 and 241.18

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Solution

The fourth proportional to 406.99, 561.51 and 241.18 is: 332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.99 : 561.51 = 241.18 : x
  2. Step 2: Convert to fraction form
    406.99/561.51 = 241.18/x
  3. Step 3: Cross multiply
    406.99x = 561.51 × 241.18
  4. Step 4: Simplify right side
    406.99x = 135,424.98
  5. Step 5: Solve for x
    x = 135,424.98/406.99
  6. Step 6: Final answer
    x = 332.75

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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.