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Finding the Fourth Proportional to 473.49, 653.41 and 266.49

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Solution

The fourth proportional to 473.49, 653.41 and 266.49 is: 367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 653.41 = 266.49 : x
  2. Step 2: Convert to fraction form
    473.49/653.41 = 266.49/x
  3. Step 3: Cross multiply
    473.49x = 653.41 × 266.49
  4. Step 4: Simplify right side
    473.49x = 174,127.56
  5. Step 5: Solve for x
    x = 174,127.56/473.49
  6. Step 6: Final answer
    x = 367.75

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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.