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Finding the Fourth Proportional to 704.48, 972.16 and 494.96

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Solution

The fourth proportional to 704.48, 972.16 and 494.96 is: 683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.48 : 972.16 = 494.96 : x
  2. Step 2: Convert to fraction form
    704.48/972.16 = 494.96/x
  3. Step 3: Cross multiply
    704.48x = 972.16 × 494.96
  4. Step 4: Simplify right side
    704.48x = 481,180.31
  5. Step 5: Solve for x
    x = 481,180.31/704.48
  6. Step 6: Final answer
    x = 683.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.