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Finding the Fourth Proportional to 406.83, 561.50 and 266.90

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Solution

The fourth proportional to 406.83, 561.50 and 266.90 is: 368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 561.50 = 266.90 : x
  2. Step 2: Convert to fraction form
    406.83/561.50 = 266.90/x
  3. Step 3: Cross multiply
    406.83x = 561.50 × 266.90
  4. Step 4: Simplify right side
    406.83x = 149,860.21
  5. Step 5: Solve for x
    x = 149,860.21/406.83
  6. Step 6: Final answer
    x = 368.36

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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.