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Finding the Fourth Proportional to 692.15, 954.92 and 397.35

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Solution

The fourth proportional to 692.15, 954.92 and 397.35 is: 548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.15 : 954.92 = 397.35 : x
  2. Step 2: Convert to fraction form
    692.15/954.92 = 397.35/x
  3. Step 3: Cross multiply
    692.15x = 954.92 × 397.35
  4. Step 4: Simplify right side
    692.15x = 379,438.46
  5. Step 5: Solve for x
    x = 379,438.46/692.15
  6. Step 6: Final answer
    x = 548.21

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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.