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Finding the Fourth Proportional to 492.45, 741.36 and 425.49

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Solution

The fourth proportional to 492.45, 741.36 and 425.49 is: 640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.45 : 741.36 = 425.49 : x
  2. Step 2: Convert to fraction form
    492.45/741.36 = 425.49/x
  3. Step 3: Cross multiply
    492.45x = 741.36 × 425.49
  4. Step 4: Simplify right side
    492.45x = 315,441.27
  5. Step 5: Solve for x
    x = 315,441.27/492.45
  6. Step 6: Final answer
    x = 640.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.