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Finding the Fourth Proportional to 502.14, 692.82 and 305.64

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Solution

The fourth proportional to 502.14, 692.82 and 305.64 is: 421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 692.82 = 305.64 : x
  2. Step 2: Convert to fraction form
    502.14/692.82 = 305.64/x
  3. Step 3: Cross multiply
    502.14x = 692.82 × 305.64
  4. Step 4: Simplify right side
    502.14x = 211,753.50
  5. Step 5: Solve for x
    x = 211,753.50/502.14
  6. Step 6: Final answer
    x = 421.70

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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.