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Finding the Fourth Proportional to 502.24, 692.88 and 294.88

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Solution

The fourth proportional to 502.24, 692.88 and 294.88 is: 406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 692.88 = 294.88 : x
  2. Step 2: Convert to fraction form
    502.24/692.88 = 294.88/x
  3. Step 3: Cross multiply
    502.24x = 692.88 × 294.88
  4. Step 4: Simplify right side
    502.24x = 204,316.45
  5. Step 5: Solve for x
    x = 204,316.45/502.24
  6. Step 6: Final answer
    x = 406.81

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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.