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Finding the Fourth Proportional to 501.97, 692.68 and 467.14

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Solution

The fourth proportional to 501.97, 692.68 and 467.14 is: 644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.97 : 692.68 = 467.14 : x
  2. Step 2: Convert to fraction form
    501.97/692.68 = 467.14/x
  3. Step 3: Cross multiply
    501.97x = 692.68 × 467.14
  4. Step 4: Simplify right side
    501.97x = 323,578.54
  5. Step 5: Solve for x
    x = 323,578.54/501.97
  6. Step 6: Final answer
    x = 644.62

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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.