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Finding the Fourth Proportional to 697.72, 962.85 and 382.99

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Solution

The fourth proportional to 697.72, 962.85 and 382.99 is: 528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.72 : 962.85 = 382.99 : x
  2. Step 2: Convert to fraction form
    697.72/962.85 = 382.99/x
  3. Step 3: Cross multiply
    697.72x = 962.85 × 382.99
  4. Step 4: Simplify right side
    697.72x = 368,765.65
  5. Step 5: Solve for x
    x = 368,765.65/697.72
  6. Step 6: Final answer
    x = 528.53

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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.