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Finding the Fourth Proportional to 502.10, 692.61 and 362.06

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Solution

The fourth proportional to 502.10, 692.61 and 362.06 is: 499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 692.61 = 362.06 : x
  2. Step 2: Convert to fraction form
    502.10/692.61 = 362.06/x
  3. Step 3: Cross multiply
    502.10x = 692.61 × 362.06
  4. Step 4: Simplify right side
    502.10x = 250,766.38
  5. Step 5: Solve for x
    x = 250,766.38/502.10
  6. Step 6: Final answer
    x = 499.44

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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.