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Finding the Fourth Proportional to 697.42, 962.46 and 382.70

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Solution

The fourth proportional to 697.42, 962.46 and 382.70 is: 528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.42 : 962.46 = 382.70 : x
  2. Step 2: Convert to fraction form
    697.42/962.46 = 382.70/x
  3. Step 3: Cross multiply
    697.42x = 962.46 × 382.70
  4. Step 4: Simplify right side
    697.42x = 368,333.44
  5. Step 5: Solve for x
    x = 368,333.44/697.42
  6. Step 6: Final answer
    x = 528.14

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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.