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Finding the Fourth Proportional to 502, 692.76 and 294.96

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Solution

The fourth proportional to 502, 692.76 and 294.96 is: 407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 692.76 = 294.96 : x
  2. Step 2: Convert to fraction form
    502/692.76 = 294.96/x
  3. Step 3: Cross multiply
    502x = 692.76 × 294.96
  4. Step 4: Simplify right side
    502x = 204,336.49
  5. Step 5: Solve for x
    x = 204,336.49/502
  6. Step 6: Final answer
    x = 407.04

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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.