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Finding the Fourth Proportional to 697.77, 962.92 and 387.27

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Solution

The fourth proportional to 697.77, 962.92 and 387.27 is: 534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.77 : 962.92 = 387.27 : x
  2. Step 2: Convert to fraction form
    697.77/962.92 = 387.27/x
  3. Step 3: Cross multiply
    697.77x = 962.92 × 387.27
  4. Step 4: Simplify right side
    697.77x = 372,908.09
  5. Step 5: Solve for x
    x = 372,908.09/697.77
  6. Step 6: Final answer
    x = 534.43

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1.5x scale

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.