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Finding the Fourth Proportional to 694.95, 959.02 and 380.22

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Solution

The fourth proportional to 694.95, 959.02 and 380.22 is: 524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.95 : 959.02 = 380.22 : x
  2. Step 2: Convert to fraction form
    694.95/959.02 = 380.22/x
  3. Step 3: Cross multiply
    694.95x = 959.02 × 380.22
  4. Step 4: Simplify right side
    694.95x = 364,638.58
  5. Step 5: Solve for x
    x = 364,638.58/694.95
  6. Step 6: Final answer
    x = 524.70

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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.