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Finding the Fourth Proportional to 694.75, 958.80 and 384.25

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Solution

The fourth proportional to 694.75, 958.80 and 384.25 is: 530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.75 : 958.80 = 384.25 : x
  2. Step 2: Convert to fraction form
    694.75/958.80 = 384.25/x
  3. Step 3: Cross multiply
    694.75x = 958.80 × 384.25
  4. Step 4: Simplify right side
    694.75x = 368,418.90
  5. Step 5: Solve for x
    x = 368,418.90/694.75
  6. Step 6: Final answer
    x = 530.29

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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.