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Finding the Fourth Proportional to 501.96, 692.08 and 324.63

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Solution

The fourth proportional to 501.96, 692.08 and 324.63 is: 447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 692.08 = 324.63 : x
  2. Step 2: Convert to fraction form
    501.96/692.08 = 324.63/x
  3. Step 3: Cross multiply
    501.96x = 692.08 × 324.63
  4. Step 4: Simplify right side
    501.96x = 224,669.93
  5. Step 5: Solve for x
    x = 224,669.93/501.96
  6. Step 6: Final answer
    x = 447.59

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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.