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Finding the Fourth Proportional to 594.25, 892.14 and 457.39

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Solution

The fourth proportional to 594.25, 892.14 and 457.39 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.25 : 892.14 = 457.39 : x
  2. Step 2: Convert to fraction form
    594.25/892.14 = 457.39/x
  3. Step 3: Cross multiply
    594.25x = 892.14 × 457.39
  4. Step 4: Simplify right side
    594.25x = 408,057.42
  5. Step 5: Solve for x
    x = 408,057.42/594.25
  6. Step 6: Final answer
    x = 686.68

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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.