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Finding the Fourth Proportional to 421.63, 582.18 and 322.24

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Solution

The fourth proportional to 421.63, 582.18 and 322.24 is: 444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.63 : 582.18 = 322.24 : x
  2. Step 2: Convert to fraction form
    421.63/582.18 = 322.24/x
  3. Step 3: Cross multiply
    421.63x = 582.18 × 322.24
  4. Step 4: Simplify right side
    421.63x = 187,601.68
  5. Step 5: Solve for x
    x = 187,601.68/421.63
  6. Step 6: Final answer
    x = 444.94

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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.