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Finding the Fourth Proportional to 594.68, 892.06 and 302.44

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Solution

The fourth proportional to 594.68, 892.06 and 302.44 is: 453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.68 : 892.06 = 302.44 : x
  2. Step 2: Convert to fraction form
    594.68/892.06 = 302.44/x
  3. Step 3: Cross multiply
    594.68x = 892.06 × 302.44
  4. Step 4: Simplify right side
    594.68x = 269,794.63
  5. Step 5: Solve for x
    x = 269,794.63/594.68
  6. Step 6: Final answer
    x = 453.68

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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.