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Finding the Fourth Proportional to 553.36, 763.50 and 320.44

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Solution

The fourth proportional to 553.36, 763.50 and 320.44 is: 442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.36 : 763.50 = 320.44 : x
  2. Step 2: Convert to fraction form
    553.36/763.50 = 320.44/x
  3. Step 3: Cross multiply
    553.36x = 763.50 × 320.44
  4. Step 4: Simplify right side
    553.36x = 244,655.94
  5. Step 5: Solve for x
    x = 244,655.94/553.36
  6. Step 6: Final answer
    x = 442.13

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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.