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Finding the Fourth Proportional to 557.80, 769.86 and 411.19

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Solution

The fourth proportional to 557.80, 769.86 and 411.19 is: 567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.80 : 769.86 = 411.19 : x
  2. Step 2: Convert to fraction form
    557.80/769.86 = 411.19/x
  3. Step 3: Cross multiply
    557.80x = 769.86 × 411.19
  4. Step 4: Simplify right side
    557.80x = 316,558.73
  5. Step 5: Solve for x
    x = 316,558.73/557.80
  6. Step 6: Final answer
    x = 567.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.