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Finding the Fourth Proportional to 557.94, 769.10 and 417.85

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Solution

The fourth proportional to 557.94, 769.10 and 417.85 is: 575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 769.10 = 417.85 : x
  2. Step 2: Convert to fraction form
    557.94/769.10 = 417.85/x
  3. Step 3: Cross multiply
    557.94x = 769.10 × 417.85
  4. Step 4: Simplify right side
    557.94x = 321,368.44
  5. Step 5: Solve for x
    x = 321,368.44/557.94
  6. Step 6: Final answer
    x = 575.99

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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.