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Finding the Fourth Proportional to 502.05, 692.60 and 315.44

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Solution

The fourth proportional to 502.05, 692.60 and 315.44 is: 435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.05 : 692.60 = 315.44 : x
  2. Step 2: Convert to fraction form
    502.05/692.60 = 315.44/x
  3. Step 3: Cross multiply
    502.05x = 692.60 × 315.44
  4. Step 4: Simplify right side
    502.05x = 218,476.97
  5. Step 5: Solve for x
    x = 218,476.97/502.05
  6. Step 6: Final answer
    x = 435.17

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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.