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Finding the Fourth Proportional to 697.54, 962.56 and 382.79

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Solution

The fourth proportional to 697.54, 962.56 and 382.79 is: 528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.54 : 962.56 = 382.79 : x
  2. Step 2: Convert to fraction form
    697.54/962.56 = 382.79/x
  3. Step 3: Cross multiply
    697.54x = 962.56 × 382.79
  4. Step 4: Simplify right side
    697.54x = 368,452.57
  5. Step 5: Solve for x
    x = 368,452.57/697.54
  6. Step 6: Final answer
    x = 528.22

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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.