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Finding the Fourth Proportional to 501.36, 692.04 and 396.24

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Solution

The fourth proportional to 501.36, 692.04 and 396.24 is: 546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 692.04 = 396.24 : x
  2. Step 2: Convert to fraction form
    501.36/692.04 = 396.24/x
  3. Step 3: Cross multiply
    501.36x = 692.04 × 396.24
  4. Step 4: Simplify right side
    501.36x = 274,213.93
  5. Step 5: Solve for x
    x = 274,213.93/501.36
  6. Step 6: Final answer
    x = 546.94

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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.