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Finding the Fourth Proportional to 502.28, 692.98 and 305.72

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Solution

The fourth proportional to 502.28, 692.98 and 305.72 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.28 : 692.98 = 305.72 : x
  2. Step 2: Convert to fraction form
    502.28/692.98 = 305.72/x
  3. Step 3: Cross multiply
    502.28x = 692.98 × 305.72
  4. Step 4: Simplify right side
    502.28x = 211,857.85
  5. Step 5: Solve for x
    x = 211,857.85/502.28
  6. Step 6: Final answer
    x = 421.79

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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.