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Finding the Fourth Proportional to 697.64, 962.75 and 382.90

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Solution

The fourth proportional to 697.64, 962.75 and 382.90 is: 528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 962.75 = 382.90 : x
  2. Step 2: Convert to fraction form
    697.64/962.75 = 382.90/x
  3. Step 3: Cross multiply
    697.64x = 962.75 × 382.90
  4. Step 4: Simplify right side
    697.64x = 368,630.25
  5. Step 5: Solve for x
    x = 368,630.25/697.64
  6. Step 6: Final answer
    x = 528.40

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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.