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Finding the Fourth Proportional to 502.02, 692.81 and 292.12

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Solution

The fourth proportional to 502.02, 692.81 and 292.12 is: 403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.02 : 692.81 = 292.12 : x
  2. Step 2: Convert to fraction form
    502.02/692.81 = 292.12/x
  3. Step 3: Cross multiply
    502.02x = 692.81 × 292.12
  4. Step 4: Simplify right side
    502.02x = 202,383.66
  5. Step 5: Solve for x
    x = 202,383.66/502.02
  6. Step 6: Final answer
    x = 403.14

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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.