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Finding the Fourth Proportional to 557.94, 835.11 and 411.24

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Solution

The fourth proportional to 557.94, 835.11 and 411.24 is: 615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 835.11 = 411.24 : x
  2. Step 2: Convert to fraction form
    557.94/835.11 = 411.24/x
  3. Step 3: Cross multiply
    557.94x = 835.11 × 411.24
  4. Step 4: Simplify right side
    557.94x = 343,430.64
  5. Step 5: Solve for x
    x = 343,430.64/557.94
  6. Step 6: Final answer
    x = 615.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.