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Finding the Fourth Proportional to 553.50, 763.89 and 332.56

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Solution

The fourth proportional to 553.50, 763.89 and 332.56 is: 458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 763.89 = 332.56 : x
  2. Step 2: Convert to fraction form
    553.50/763.89 = 332.56/x
  3. Step 3: Cross multiply
    553.50x = 763.89 × 332.56
  4. Step 4: Simplify right side
    553.50x = 254,039.26
  5. Step 5: Solve for x
    x = 254,039.26/553.50
  6. Step 6: Final answer
    x = 458.97

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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.