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Finding the Fourth Proportional to 501.64, 692.26 and 280.60

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Solution

The fourth proportional to 501.64, 692.26 and 280.60 is: 387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 692.26 = 280.60 : x
  2. Step 2: Convert to fraction form
    501.64/692.26 = 280.60/x
  3. Step 3: Cross multiply
    501.64x = 692.26 × 280.60
  4. Step 4: Simplify right side
    501.64x = 194,245.72
  5. Step 5: Solve for x
    x = 194,245.72/501.64
  6. Step 6: Final answer
    x = 387.22

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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.