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Finding the Fourth Proportional to 594.41, 817.83 and 580.60

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Solution

The fourth proportional to 594.41, 817.83 and 580.60 is: 798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.41 : 817.83 = 580.60 : x
  2. Step 2: Convert to fraction form
    594.41/817.83 = 580.60/x
  3. Step 3: Cross multiply
    594.41x = 817.83 × 580.60
  4. Step 4: Simplify right side
    594.41x = 474,833.12
  5. Step 5: Solve for x
    x = 474,833.12/594.41
  6. Step 6: Final answer
    x = 798.84

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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.