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Finding the Fourth Proportional to 697.23, 962.20 and 382.52

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Solution

The fourth proportional to 697.23, 962.20 and 382.52 is: 527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.23 : 962.20 = 382.52 : x
  2. Step 2: Convert to fraction form
    697.23/962.20 = 382.52/x
  3. Step 3: Cross multiply
    697.23x = 962.20 × 382.52
  4. Step 4: Simplify right side
    697.23x = 368,064.70
  5. Step 5: Solve for x
    x = 368,064.70/697.23
  6. Step 6: Final answer
    x = 527.89

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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.