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Finding the Fourth Proportional to 698.59, 964.07 and 383.86

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Solution

The fourth proportional to 698.59, 964.07 and 383.86 is: 529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.59 : 964.07 = 383.86 : x
  2. Step 2: Convert to fraction form
    698.59/964.07 = 383.86/x
  3. Step 3: Cross multiply
    698.59x = 964.07 × 383.86
  4. Step 4: Simplify right side
    698.59x = 370,067.91
  5. Step 5: Solve for x
    x = 370,067.91/698.59
  6. Step 6: Final answer
    x = 529.74

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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.