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Finding the Fourth Proportional to 697.64, 962.73 and 387.14

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Solution

The fourth proportional to 697.64, 962.73 and 387.14 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 962.73 = 387.14 : x
  2. Step 2: Convert to fraction form
    697.64/962.73 = 387.14/x
  3. Step 3: Cross multiply
    697.64x = 962.73 × 387.14
  4. Step 4: Simplify right side
    697.64x = 372,711.29
  5. Step 5: Solve for x
    x = 372,711.29/697.64
  6. Step 6: Final answer
    x = 534.25

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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.