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Finding the Fourth Proportional to 698.37, 963.76 and 383.64

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Solution

The fourth proportional to 698.37, 963.76 and 383.64 is: 529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.37 : 963.76 = 383.64 : x
  2. Step 2: Convert to fraction form
    698.37/963.76 = 383.64/x
  3. Step 3: Cross multiply
    698.37x = 963.76 × 383.64
  4. Step 4: Simplify right side
    698.37x = 369,742.24
  5. Step 5: Solve for x
    x = 369,742.24/698.37
  6. Step 6: Final answer
    x = 529.43

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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.