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Finding the Fourth Proportional to 425.16, 636.30 and 294.54

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Solution

The fourth proportional to 425.16, 636.30 and 294.54 is: 440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 636.30 = 294.54 : x
  2. Step 2: Convert to fraction form
    425.16/636.30 = 294.54/x
  3. Step 3: Cross multiply
    425.16x = 636.30 × 294.54
  4. Step 4: Simplify right side
    425.16x = 187,415.80
  5. Step 5: Solve for x
    x = 187,415.80/425.16
  6. Step 6: Final answer
    x = 440.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.