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Finding the Fourth Proportional to 421.72, 582.08 and 281.88

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Solution

The fourth proportional to 421.72, 582.08 and 281.88 is: 389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.72 : 582.08 = 281.88 : x
  2. Step 2: Convert to fraction form
    421.72/582.08 = 281.88/x
  3. Step 3: Cross multiply
    421.72x = 582.08 × 281.88
  4. Step 4: Simplify right side
    421.72x = 164,076.71
  5. Step 5: Solve for x
    x = 164,076.71/421.72
  6. Step 6: Final answer
    x = 389.07

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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.