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Finding the Fourth Proportional to 473.44, 653.34 and 266.44

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Solution

The fourth proportional to 473.44, 653.34 and 266.44 is: 367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.44 : 653.34 = 266.44 : x
  2. Step 2: Convert to fraction form
    473.44/653.34 = 266.44/x
  3. Step 3: Cross multiply
    473.44x = 653.34 × 266.44
  4. Step 4: Simplify right side
    473.44x = 174,075.28
  5. Step 5: Solve for x
    x = 174,075.28/473.44
  6. Step 6: Final answer
    x = 367.68

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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.