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Finding the Fourth Proportional to 692.32, 955.92 and 427.13

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Solution

The fourth proportional to 692.32, 955.92 and 427.13 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.32 : 955.92 = 427.13 : x
  2. Step 2: Convert to fraction form
    692.32/955.92 = 427.13/x
  3. Step 3: Cross multiply
    692.32x = 955.92 × 427.13
  4. Step 4: Simplify right side
    692.32x = 408,302.11
  5. Step 5: Solve for x
    x = 408,302.11/692.32
  6. Step 6: Final answer
    x = 589.76

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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.