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Finding the Fourth Proportional to 501.49, 692.04 and 280.44

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Solution

The fourth proportional to 501.49, 692.04 and 280.44 is: 386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.49 : 692.04 = 280.44 : x
  2. Step 2: Convert to fraction form
    501.49/692.04 = 280.44/x
  3. Step 3: Cross multiply
    501.49x = 692.04 × 280.44
  4. Step 4: Simplify right side
    501.49x = 194,070.84
  5. Step 5: Solve for x
    x = 194,070.84/501.49
  6. Step 6: Final answer
    x = 386.99

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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.