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Finding the Fourth Proportional to 594.86, 892.59 and 389.84

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Solution

The fourth proportional to 594.86, 892.59 and 389.84 is: 584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.86 : 892.59 = 389.84 : x
  2. Step 2: Convert to fraction form
    594.86/892.59 = 389.84/x
  3. Step 3: Cross multiply
    594.86x = 892.59 × 389.84
  4. Step 4: Simplify right side
    594.86x = 347,967.29
  5. Step 5: Solve for x
    x = 347,967.29/594.86
  6. Step 6: Final answer
    x = 584.96

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Why These Related Problems?

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