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Finding the Fourth Proportional to 468.21, 645.64 and 320.61

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Solution

The fourth proportional to 468.21, 645.64 and 320.61 is: 442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.21 : 645.64 = 320.61 : x
  2. Step 2: Convert to fraction form
    468.21/645.64 = 320.61/x
  3. Step 3: Cross multiply
    468.21x = 645.64 × 320.61
  4. Step 4: Simplify right side
    468.21x = 206,998.64
  5. Step 5: Solve for x
    x = 206,998.64/468.21
  6. Step 6: Final answer
    x = 442.11

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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.