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Finding the Fourth Proportional to 467.65, 645.65 and 320.48

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Solution

The fourth proportional to 467.65, 645.65 and 320.48 is: 442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.65 : 645.65 = 320.48 : x
  2. Step 2: Convert to fraction form
    467.65/645.65 = 320.48/x
  3. Step 3: Cross multiply
    467.65x = 645.65 × 320.48
  4. Step 4: Simplify right side
    467.65x = 206,917.91
  5. Step 5: Solve for x
    x = 206,917.91/467.65
  6. Step 6: Final answer
    x = 442.46

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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.