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Finding the Fourth Proportional to 698.57, 964.02 and 383.84

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Solution

The fourth proportional to 698.57, 964.02 and 383.84 is: 529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.57 : 964.02 = 383.84 : x
  2. Step 2: Convert to fraction form
    698.57/964.02 = 383.84/x
  3. Step 3: Cross multiply
    698.57x = 964.02 × 383.84
  4. Step 4: Simplify right side
    698.57x = 370,024.62
  5. Step 5: Solve for x
    x = 370,024.62/698.57
  6. Step 6: Final answer
    x = 529.69

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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.