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Finding the Fourth Proportional to 403.80, 605.93 and 266.91

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Solution

The fourth proportional to 403.80, 605.93 and 266.91 is: 400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 605.93 = 266.91 : x
  2. Step 2: Convert to fraction form
    403.80/605.93 = 266.91/x
  3. Step 3: Cross multiply
    403.80x = 605.93 × 266.91
  4. Step 4: Simplify right side
    403.80x = 161,728.78
  5. Step 5: Solve for x
    x = 161,728.78/403.80
  6. Step 6: Final answer
    x = 400.52

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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.