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Finding the Fourth Proportional to 553.92, 764.49 and 341.36

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Solution

The fourth proportional to 553.92, 764.49 and 341.36 is: 471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.92 : 764.49 = 341.36 : x
  2. Step 2: Convert to fraction form
    553.92/764.49 = 341.36/x
  3. Step 3: Cross multiply
    553.92x = 764.49 × 341.36
  4. Step 4: Simplify right side
    553.92x = 260,962.48
  5. Step 5: Solve for x
    x = 260,962.48/553.92
  6. Step 6: Final answer
    x = 471.12

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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.