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Finding the Fourth Proportional to 688.28, 949.56 and 501.80

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Solution

The fourth proportional to 688.28, 949.56 and 501.80 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.28 : 949.56 = 501.80 : x
  2. Step 2: Convert to fraction form
    688.28/949.56 = 501.80/x
  3. Step 3: Cross multiply
    688.28x = 949.56 × 501.80
  4. Step 4: Simplify right side
    688.28x = 476,489.21
  5. Step 5: Solve for x
    x = 476,489.21/688.28
  6. Step 6: Final answer
    x = 692.29

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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.