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Finding the Fourth Proportional to 620.29, 928.41 and 345.70

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Solution

The fourth proportional to 620.29, 928.41 and 345.70 is: 517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.29 : 928.41 = 345.70 : x
  2. Step 2: Convert to fraction form
    620.29/928.41 = 345.70/x
  3. Step 3: Cross multiply
    620.29x = 928.41 × 345.70
  4. Step 4: Simplify right side
    620.29x = 320,951.34
  5. Step 5: Solve for x
    x = 320,951.34/620.29
  6. Step 6: Final answer
    x = 517.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.