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Finding the Fourth Proportional to 501.60, 692.04 and 294.48

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Solution

The fourth proportional to 501.60, 692.04 and 294.48 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 692.04 = 294.48 : x
  2. Step 2: Convert to fraction form
    501.60/692.04 = 294.48/x
  3. Step 3: Cross multiply
    501.60x = 692.04 × 294.48
  4. Step 4: Simplify right side
    501.60x = 203,791.94
  5. Step 5: Solve for x
    x = 203,791.94/501.60
  6. Step 6: Final answer
    x = 406.28

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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.