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Finding the Fourth Proportional to 704.57, 972.26 and 385.48

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Solution

The fourth proportional to 704.57, 972.26 and 385.48 is: 531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.57 : 972.26 = 385.48 : x
  2. Step 2: Convert to fraction form
    704.57/972.26 = 385.48/x
  3. Step 3: Cross multiply
    704.57x = 972.26 × 385.48
  4. Step 4: Simplify right side
    704.57x = 374,783.95
  5. Step 5: Solve for x
    x = 374,783.95/704.57
  6. Step 6: Final answer
    x = 531.93

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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.