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Finding the Fourth Proportional to 502.12, 692.66 and 295

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Solution

The fourth proportional to 502.12, 692.66 and 295 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 692.66 = 295 : x
  2. Step 2: Convert to fraction form
    502.12/692.66 = 295/x
  3. Step 3: Cross multiply
    502.12x = 692.66 × 295
  4. Step 4: Simplify right side
    502.12x = 204,334.70
  5. Step 5: Solve for x
    x = 204,334.70/502.12
  6. Step 6: Final answer
    x = 406.94

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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.