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Finding the Fourth Proportional to 492.72, 742.02 and 412.08

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Solution

The fourth proportional to 492.72, 742.02 and 412.08 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 742.02 = 412.08 : x
  2. Step 2: Convert to fraction form
    492.72/742.02 = 412.08/x
  3. Step 3: Cross multiply
    492.72x = 742.02 × 412.08
  4. Step 4: Simplify right side
    492.72x = 305,771.60
  5. Step 5: Solve for x
    x = 305,771.60/492.72
  6. Step 6: Final answer
    x = 620.58

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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.