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Finding the Fourth Proportional to 501.76, 692.43 and 280.71

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Solution

The fourth proportional to 501.76, 692.43 and 280.71 is: 387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.76 : 692.43 = 280.71 : x
  2. Step 2: Convert to fraction form
    501.76/692.43 = 280.71/x
  3. Step 3: Cross multiply
    501.76x = 692.43 × 280.71
  4. Step 4: Simplify right side
    501.76x = 194,372.03
  5. Step 5: Solve for x
    x = 194,372.03/501.76
  6. Step 6: Final answer
    x = 387.38

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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.