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Finding the Fourth Proportional to 502.30, 692.62 and 327.57

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Solution

The fourth proportional to 502.30, 692.62 and 327.57 is: 451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.30 : 692.62 = 327.57 : x
  2. Step 2: Convert to fraction form
    502.30/692.62 = 327.57/x
  3. Step 3: Cross multiply
    502.30x = 692.62 × 327.57
  4. Step 4: Simplify right side
    502.30x = 226,881.53
  5. Step 5: Solve for x
    x = 226,881.53/502.30
  6. Step 6: Final answer
    x = 451.69

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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.