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Finding the Fourth Proportional to 692.28, 1,038.18 and 281.64

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Solution

The fourth proportional to 692.28, 1,038.18 and 281.64 is: 422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.28 : 1,038.18 = 281.64 : x
  2. Step 2: Convert to fraction form
    692.28/1,038.18 = 281.64/x
  3. Step 3: Cross multiply
    692.28x = 1,038.18 × 281.64
  4. Step 4: Simplify right side
    692.28x = 292,393.02
  5. Step 5: Solve for x
    x = 292,393.02/692.28
  6. Step 6: Final answer
    x = 422.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.