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Finding the Fourth Proportional to 553.02, 764.04 and 467.16

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Solution

The fourth proportional to 553.02, 764.04 and 467.16 is: 645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.02 : 764.04 = 467.16 : x
  2. Step 2: Convert to fraction form
    553.02/764.04 = 467.16/x
  3. Step 3: Cross multiply
    553.02x = 764.04 × 467.16
  4. Step 4: Simplify right side
    553.02x = 356,928.93
  5. Step 5: Solve for x
    x = 356,928.93/553.02
  6. Step 6: Final answer
    x = 645.42

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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.