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Finding the Fourth Proportional to 421.00, 581.07 and 246.44

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Solution

The fourth proportional to 421.00, 581.07 and 246.44 is: 340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.00 : 581.07 = 246.44 : x
  2. Step 2: Convert to fraction form
    421.00/581.07 = 246.44/x
  3. Step 3: Cross multiply
    421.00x = 581.07 × 246.44
  4. Step 4: Simplify right side
    421.00x = 143,201.27
  5. Step 5: Solve for x
    x = 143,201.27/421.00
  6. Step 6: Final answer
    x = 340.15

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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.