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Finding the Fourth Proportional to 502.41, 692.94 and 369.60

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Solution

The fourth proportional to 502.41, 692.94 and 369.60 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.41 : 692.94 = 369.60 : x
  2. Step 2: Convert to fraction form
    502.41/692.94 = 369.60/x
  3. Step 3: Cross multiply
    502.41x = 692.94 × 369.60
  4. Step 4: Simplify right side
    502.41x = 256,110.62
  5. Step 5: Solve for x
    x = 256,110.62/502.41
  6. Step 6: Final answer
    x = 509.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.