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Finding the Fourth Proportional to 697.22, 962.13 and 382.49

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Solution

The fourth proportional to 697.22, 962.13 and 382.49 is: 527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.22 : 962.13 = 382.49 : x
  2. Step 2: Convert to fraction form
    697.22/962.13 = 382.49/x
  3. Step 3: Cross multiply
    697.22x = 962.13 × 382.49
  4. Step 4: Simplify right side
    697.22x = 368,005.10
  5. Step 5: Solve for x
    x = 368,005.10/697.22
  6. Step 6: Final answer
    x = 527.82

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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.