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Finding the Fourth Proportional to 557.96, 773.75 and 540.14

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Solution

The fourth proportional to 557.96, 773.75 and 540.14 is: 749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 773.75 = 540.14 : x
  2. Step 2: Convert to fraction form
    557.96/773.75 = 540.14/x
  3. Step 3: Cross multiply
    557.96x = 773.75 × 540.14
  4. Step 4: Simplify right side
    557.96x = 417,933.33
  5. Step 5: Solve for x
    x = 417,933.33/557.96
  6. Step 6: Final answer
    x = 749.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.