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Finding the Fourth Proportional to 557.47, 769.33 and 321.45

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Solution

The fourth proportional to 557.47, 769.33 and 321.45 is: 443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.47 : 769.33 = 321.45 : x
  2. Step 2: Convert to fraction form
    557.47/769.33 = 321.45/x
  3. Step 3: Cross multiply
    557.47x = 769.33 × 321.45
  4. Step 4: Simplify right side
    557.47x = 247,302.97
  5. Step 5: Solve for x
    x = 247,302.97/557.47
  6. Step 6: Final answer
    x = 443.62

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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.