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Finding the Fourth Proportional to 492.16, 678.68 and 326.16

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Solution

The fourth proportional to 492.16, 678.68 and 326.16 is: 449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.16 : 678.68 = 326.16 : x
  2. Step 2: Convert to fraction form
    492.16/678.68 = 326.16/x
  3. Step 3: Cross multiply
    492.16x = 678.68 × 326.16
  4. Step 4: Simplify right side
    492.16x = 221,358.27
  5. Step 5: Solve for x
    x = 221,358.27/492.16
  6. Step 6: Final answer
    x = 449.77

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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.