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Finding the Fourth Proportional to 450.33, 675.49 and 392.82

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Solution

The fourth proportional to 450.33, 675.49 and 392.82 is: 589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.33 : 675.49 = 392.82 : x
  2. Step 2: Convert to fraction form
    450.33/675.49 = 392.82/x
  3. Step 3: Cross multiply
    450.33x = 675.49 × 392.82
  4. Step 4: Simplify right side
    450.33x = 265,345.98
  5. Step 5: Solve for x
    x = 265,345.98/450.33
  6. Step 6: Final answer
    x = 589.23

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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.