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Finding the Fourth Proportional to 501.63, 692.29 and 280.63

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Solution

The fourth proportional to 501.63, 692.29 and 280.63 is: 387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.63 : 692.29 = 280.63 : x
  2. Step 2: Convert to fraction form
    501.63/692.29 = 280.63/x
  3. Step 3: Cross multiply
    501.63x = 692.29 × 280.63
  4. Step 4: Simplify right side
    501.63x = 194,277.34
  5. Step 5: Solve for x
    x = 194,277.34/501.63
  6. Step 6: Final answer
    x = 387.29

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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.