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Finding the Fourth Proportional to 692.35, 955.47 and 397.69

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Solution

The fourth proportional to 692.35, 955.47 and 397.69 is: 548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.35 : 955.47 = 397.69 : x
  2. Step 2: Convert to fraction form
    692.35/955.47 = 397.69/x
  3. Step 3: Cross multiply
    692.35x = 955.47 × 397.69
  4. Step 4: Simplify right side
    692.35x = 379,980.86
  5. Step 5: Solve for x
    x = 379,980.86/692.35
  6. Step 6: Final answer
    x = 548.83

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1.5x scale

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.