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Finding the Fourth Proportional to 421.02, 580.95 and 246.42

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Solution

The fourth proportional to 421.02, 580.95 and 246.42 is: 340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.02 : 580.95 = 246.42 : x
  2. Step 2: Convert to fraction form
    421.02/580.95 = 246.42/x
  3. Step 3: Cross multiply
    421.02x = 580.95 × 246.42
  4. Step 4: Simplify right side
    421.02x = 143,157.70
  5. Step 5: Solve for x
    x = 143,157.70/421.02
  6. Step 6: Final answer
    x = 340.03

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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.