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Finding the Fourth Proportional to 697.21, 962.15 and 382.47

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Solution

The fourth proportional to 697.21, 962.15 and 382.47 is: 527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.21 : 962.15 = 382.47 : x
  2. Step 2: Convert to fraction form
    697.21/962.15 = 382.47/x
  3. Step 3: Cross multiply
    697.21x = 962.15 × 382.47
  4. Step 4: Simplify right side
    697.21x = 367,996.63
  5. Step 5: Solve for x
    x = 367,996.63/697.21
  6. Step 6: Final answer
    x = 527.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.