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Finding the Fourth Proportional to 553.64, 764.01 and 320.75

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Solution

The fourth proportional to 553.64, 764.01 and 320.75 is: 442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 764.01 = 320.75 : x
  2. Step 2: Convert to fraction form
    553.64/764.01 = 320.75/x
  3. Step 3: Cross multiply
    553.64x = 764.01 × 320.75
  4. Step 4: Simplify right side
    553.64x = 245,056.21
  5. Step 5: Solve for x
    x = 245,056.21/553.64
  6. Step 6: Final answer
    x = 442.63

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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.