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Finding the Fourth Proportional to 694.62, 958.58 and 384.12

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Solution

The fourth proportional to 694.62, 958.58 and 384.12 is: 530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.62 : 958.58 = 384.12 : x
  2. Step 2: Convert to fraction form
    694.62/958.58 = 384.12/x
  3. Step 3: Cross multiply
    694.62x = 958.58 × 384.12
  4. Step 4: Simplify right side
    694.62x = 368,209.75
  5. Step 5: Solve for x
    x = 368,209.75/694.62
  6. Step 6: Final answer
    x = 530.09

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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.