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Finding the Fourth Proportional to 557.56, 769.54 and 324.72

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Solution

The fourth proportional to 557.56, 769.54 and 324.72 is: 448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.56 : 769.54 = 324.72 : x
  2. Step 2: Convert to fraction form
    557.56/769.54 = 324.72/x
  3. Step 3: Cross multiply
    557.56x = 769.54 × 324.72
  4. Step 4: Simplify right side
    557.56x = 249,885.03
  5. Step 5: Solve for x
    x = 249,885.03/557.56
  6. Step 6: Final answer
    x = 448.18

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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.