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Finding the Fourth Proportional to 502.79, 692.84 and 362.66

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Solution

The fourth proportional to 502.79, 692.84 and 362.66 is: 499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.79 : 692.84 = 362.66 : x
  2. Step 2: Convert to fraction form
    502.79/692.84 = 362.66/x
  3. Step 3: Cross multiply
    502.79x = 692.84 × 362.66
  4. Step 4: Simplify right side
    502.79x = 251,262.80
  5. Step 5: Solve for x
    x = 251,262.80/502.79
  6. Step 6: Final answer
    x = 499.74

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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.