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Finding the Fourth Proportional to 421, 581 and 246.36

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Solution

The fourth proportional to 421, 581 and 246.36 is: 339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 581 = 246.36 : x
  2. Step 2: Convert to fraction form
    421/581 = 246.36/x
  3. Step 3: Cross multiply
    421x = 581 × 246.36
  4. Step 4: Simplify right side
    421x = 143,135.16
  5. Step 5: Solve for x
    x = 143,135.16/421
  6. Step 6: Final answer
    x = 339.99

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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.