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Finding the Fourth Proportional to 421.71, 582.24 and 282.01

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Solution

The fourth proportional to 421.71, 582.24 and 282.01 is: 389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.71 : 582.24 = 282.01 : x
  2. Step 2: Convert to fraction form
    421.71/582.24 = 282.01/x
  3. Step 3: Cross multiply
    421.71x = 582.24 × 282.01
  4. Step 4: Simplify right side
    421.71x = 164,194.97
  5. Step 5: Solve for x
    x = 164,194.97/421.71
  6. Step 6: Final answer
    x = 389.36

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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.