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Finding the Fourth Proportional to 421.94, 581.38 and 421.13

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Solution

The fourth proportional to 421.94, 581.38 and 421.13 is: 580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 581.38 = 421.13 : x
  2. Step 2: Convert to fraction form
    421.94/581.38 = 421.13/x
  3. Step 3: Cross multiply
    421.94x = 581.38 × 421.13
  4. Step 4: Simplify right side
    421.94x = 244,836.96
  5. Step 5: Solve for x
    x = 244,836.96/421.94
  6. Step 6: Final answer
    x = 580.26

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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.