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Finding the Fourth Proportional to 697.77, 962.28 and 461.31

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Solution

The fourth proportional to 697.77, 962.28 and 461.31 is: 636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.77 : 962.28 = 461.31 : x
  2. Step 2: Convert to fraction form
    697.77/962.28 = 461.31/x
  3. Step 3: Cross multiply
    697.77x = 962.28 × 461.31
  4. Step 4: Simplify right side
    697.77x = 443,909.39
  5. Step 5: Solve for x
    x = 443,909.39/697.77
  6. Step 6: Final answer
    x = 636.18

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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.