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Finding the Fourth Proportional to 502.11, 692.52 and 383.79

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Solution

The fourth proportional to 502.11, 692.52 and 383.79 is: 529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.11 : 692.52 = 383.79 : x
  2. Step 2: Convert to fraction form
    502.11/692.52 = 383.79/x
  3. Step 3: Cross multiply
    502.11x = 692.52 × 383.79
  4. Step 4: Simplify right side
    502.11x = 265,776.87
  5. Step 5: Solve for x
    x = 265,776.87/502.11
  6. Step 6: Final answer
    x = 529.33

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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.