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Finding the Fourth Proportional to 492.03, 678.93 and 326.48

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Solution

The fourth proportional to 492.03, 678.93 and 326.48 is: 450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.03 : 678.93 = 326.48 : x
  2. Step 2: Convert to fraction form
    492.03/678.93 = 326.48/x
  3. Step 3: Cross multiply
    492.03x = 678.93 × 326.48
  4. Step 4: Simplify right side
    492.03x = 221,653.67
  5. Step 5: Solve for x
    x = 221,653.67/492.03
  6. Step 6: Final answer
    x = 450.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.