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Finding the Fourth Proportional to 492.98, 735.94 and 475.90

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Solution

The fourth proportional to 492.98, 735.94 and 475.90 is: 710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.98 : 735.94 = 475.90 : x
  2. Step 2: Convert to fraction form
    492.98/735.94 = 475.90/x
  3. Step 3: Cross multiply
    492.98x = 735.94 × 475.90
  4. Step 4: Simplify right side
    492.98x = 350,233.85
  5. Step 5: Solve for x
    x = 350,233.85/492.98
  6. Step 6: Final answer
    x = 710.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.