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Finding the Fourth Proportional to 456.80, 686.12 and 392.33

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Solution

The fourth proportional to 456.80, 686.12 and 392.33 is: 589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.80 : 686.12 = 392.33 : x
  2. Step 2: Convert to fraction form
    456.80/686.12 = 392.33/x
  3. Step 3: Cross multiply
    456.80x = 686.12 × 392.33
  4. Step 4: Simplify right side
    456.80x = 269,185.21
  5. Step 5: Solve for x
    x = 269,185.21/456.80
  6. Step 6: Final answer
    x = 589.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.