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Finding the Fourth Proportional to 502.04, 692.24 and 376.04

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Solution

The fourth proportional to 502.04, 692.24 and 376.04 is: 518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.04 : 692.24 = 376.04 : x
  2. Step 2: Convert to fraction form
    502.04/692.24 = 376.04/x
  3. Step 3: Cross multiply
    502.04x = 692.24 × 376.04
  4. Step 4: Simplify right side
    502.04x = 260,309.93
  5. Step 5: Solve for x
    x = 260,309.93/502.04
  6. Step 6: Final answer
    x = 518.50

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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.