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Finding the Fourth Proportional to 492.44, 735.76 and 475.43

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Solution

The fourth proportional to 492.44, 735.76 and 475.43 is: 710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.44 : 735.76 = 475.43 : x
  2. Step 2: Convert to fraction form
    492.44/735.76 = 475.43/x
  3. Step 3: Cross multiply
    492.44x = 735.76 × 475.43
  4. Step 4: Simplify right side
    492.44x = 349,802.38
  5. Step 5: Solve for x
    x = 349,802.38/492.44
  6. Step 6: Final answer
    x = 710.35

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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.