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Finding the Fourth Proportional to 594.93, 892.77 and 411.99

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Solution

The fourth proportional to 594.93, 892.77 and 411.99 is: 618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.93 : 892.77 = 411.99 : x
  2. Step 2: Convert to fraction form
    594.93/892.77 = 411.99/x
  3. Step 3: Cross multiply
    594.93x = 892.77 × 411.99
  4. Step 4: Simplify right side
    594.93x = 367,812.31
  5. Step 5: Solve for x
    x = 367,812.31/594.93
  6. Step 6: Final answer
    x = 618.24

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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.