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Finding the Fourth Proportional to 492.01, 678.50 and 323.66

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Solution

The fourth proportional to 492.01, 678.50 and 323.66 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.01 : 678.50 = 323.66 : x
  2. Step 2: Convert to fraction form
    492.01/678.50 = 323.66/x
  3. Step 3: Cross multiply
    492.01x = 678.50 × 323.66
  4. Step 4: Simplify right side
    492.01x = 219,603.31
  5. Step 5: Solve for x
    x = 219,603.31/492.01
  6. Step 6: Final answer
    x = 446.34

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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.