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Finding the Fourth Proportional to 594.02, 891.96 and 389.08

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Solution

The fourth proportional to 594.02, 891.96 and 389.08 is: 584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.02 : 891.96 = 389.08 : x
  2. Step 2: Convert to fraction form
    594.02/891.96 = 389.08/x
  3. Step 3: Cross multiply
    594.02x = 891.96 × 389.08
  4. Step 4: Simplify right side
    594.02x = 347,043.80
  5. Step 5: Solve for x
    x = 347,043.80/594.02
  6. Step 6: Final answer
    x = 584.23

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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.