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Finding the Fourth Proportional to 617.92, 852.48 and 500.80

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Solution

The fourth proportional to 617.92, 852.48 and 500.80 is: 690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.92 : 852.48 = 500.80 : x
  2. Step 2: Convert to fraction form
    617.92/852.48 = 500.80/x
  3. Step 3: Cross multiply
    617.92x = 852.48 × 500.80
  4. Step 4: Simplify right side
    617.92x = 426,921.98
  5. Step 5: Solve for x
    x = 426,921.98/617.92
  6. Step 6: Final answer
    x = 690.90

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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.