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Finding the Fourth Proportional to 692.41, 955.03 and 412.43

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Solution

The fourth proportional to 692.41, 955.03 and 412.43 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.41 : 955.03 = 412.43 : x
  2. Step 2: Convert to fraction form
    692.41/955.03 = 412.43/x
  3. Step 3: Cross multiply
    692.41x = 955.03 × 412.43
  4. Step 4: Simplify right side
    692.41x = 393,878.76
  5. Step 5: Solve for x
    x = 393,878.76/692.41
  6. Step 6: Final answer
    x = 568.85

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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.