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Finding the Fourth Proportional to 501.92, 692.68 and 327.26

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Solution

The fourth proportional to 501.92, 692.68 and 327.26 is: 451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 692.68 = 327.26 : x
  2. Step 2: Convert to fraction form
    501.92/692.68 = 327.26/x
  3. Step 3: Cross multiply
    501.92x = 692.68 × 327.26
  4. Step 4: Simplify right side
    501.92x = 226,686.46
  5. Step 5: Solve for x
    x = 226,686.46/501.92
  6. Step 6: Final answer
    x = 451.64

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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.