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Finding the Fourth Proportional to 553.77, 764.01 and 406.14

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Solution

The fourth proportional to 553.77, 764.01 and 406.14 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.77 : 764.01 = 406.14 : x
  2. Step 2: Convert to fraction form
    553.77/764.01 = 406.14/x
  3. Step 3: Cross multiply
    553.77x = 764.01 × 406.14
  4. Step 4: Simplify right side
    553.77x = 310,295.02
  5. Step 5: Solve for x
    x = 310,295.02/553.77
  6. Step 6: Final answer
    x = 560.33

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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.