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Finding the Fourth Proportional to 369.49, 552.93 and 266.98

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Solution

The fourth proportional to 369.49, 552.93 and 266.98 is: 399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.49 : 552.93 = 266.98 : x
  2. Step 2: Convert to fraction form
    369.49/552.93 = 266.98/x
  3. Step 3: Cross multiply
    369.49x = 552.93 × 266.98
  4. Step 4: Simplify right side
    369.49x = 147,621.25
  5. Step 5: Solve for x
    x = 147,621.25/369.49
  6. Step 6: Final answer
    x = 399.53

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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.