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Finding the Fourth Proportional to 467.71, 645.28 and 320.49

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Solution

The fourth proportional to 467.71, 645.28 and 320.49 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.71 : 645.28 = 320.49 : x
  2. Step 2: Convert to fraction form
    467.71/645.28 = 320.49/x
  3. Step 3: Cross multiply
    467.71x = 645.28 × 320.49
  4. Step 4: Simplify right side
    467.71x = 206,804.99
  5. Step 5: Solve for x
    x = 206,804.99/467.71
  6. Step 6: Final answer
    x = 442.17

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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.