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Finding the Fourth Proportional to 594.67, 892.55 and 457.27

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Solution

The fourth proportional to 594.67, 892.55 and 457.27 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.67 : 892.55 = 457.27 : x
  2. Step 2: Convert to fraction form
    594.67/892.55 = 457.27/x
  3. Step 3: Cross multiply
    594.67x = 892.55 × 457.27
  4. Step 4: Simplify right side
    594.67x = 408,136.34
  5. Step 5: Solve for x
    x = 408,136.34/594.67
  6. Step 6: Final answer
    x = 686.32

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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.