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Finding the Fourth Proportional to 594.65, 892.38 and 389.31

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Solution

The fourth proportional to 594.65, 892.38 and 389.31 is: 584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.65 : 892.38 = 389.31 : x
  2. Step 2: Convert to fraction form
    594.65/892.38 = 389.31/x
  3. Step 3: Cross multiply
    594.65x = 892.38 × 389.31
  4. Step 4: Simplify right side
    594.65x = 347,412.46
  5. Step 5: Solve for x
    x = 347,412.46/594.65
  6. Step 6: Final answer
    x = 584.24

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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.