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Finding the Fourth Proportional to 553.73, 764.16 and 305.06

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Solution

The fourth proportional to 553.73, 764.16 and 305.06 is: 420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.73 : 764.16 = 305.06 : x
  2. Step 2: Convert to fraction form
    553.73/764.16 = 305.06/x
  3. Step 3: Cross multiply
    553.73x = 764.16 × 305.06
  4. Step 4: Simplify right side
    553.73x = 233,113.12
  5. Step 5: Solve for x
    x = 233,113.12/553.73
  6. Step 6: Final answer
    x = 420.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.