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Finding the Fourth Proportional to 421.65, 582.12 and 281.97

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Solution

The fourth proportional to 421.65, 582.12 and 281.97 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.65 : 582.12 = 281.97 : x
  2. Step 2: Convert to fraction form
    421.65/582.12 = 281.97/x
  3. Step 3: Cross multiply
    421.65x = 582.12 × 281.97
  4. Step 4: Simplify right side
    421.65x = 164,140.38
  5. Step 5: Solve for x
    x = 164,140.38/421.65
  6. Step 6: Final answer
    x = 389.28

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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.