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Finding the Fourth Proportional to 406.87, 561.66 and 266.99

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Solution

The fourth proportional to 406.87, 561.66 and 266.99 is: 368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.87 : 561.66 = 266.99 : x
  2. Step 2: Convert to fraction form
    406.87/561.66 = 266.99/x
  3. Step 3: Cross multiply
    406.87x = 561.66 × 266.99
  4. Step 4: Simplify right side
    406.87x = 149,957.60
  5. Step 5: Solve for x
    x = 149,957.60/406.87
  6. Step 6: Final answer
    x = 368.56

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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.