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Finding the Fourth Proportional to 468, 645.81 and 349.92

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Solution

The fourth proportional to 468, 645.81 and 349.92 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 645.81 = 349.92 : x
  2. Step 2: Convert to fraction form
    468/645.81 = 349.92/x
  3. Step 3: Cross multiply
    468x = 645.81 × 349.92
  4. Step 4: Simplify right side
    468x = 225,981.84
  5. Step 5: Solve for x
    x = 225,981.84/468
  6. Step 6: Final answer
    x = 482.87

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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.