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Finding the Fourth Proportional to 620.05, 928.25 and 414.11

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Solution

The fourth proportional to 620.05, 928.25 and 414.11 is: 619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.05 : 928.25 = 414.11 : x
  2. Step 2: Convert to fraction form
    620.05/928.25 = 414.11/x
  3. Step 3: Cross multiply
    620.05x = 928.25 × 414.11
  4. Step 4: Simplify right side
    620.05x = 384,390.90
  5. Step 5: Solve for x
    x = 384,390.90/620.05
  6. Step 6: Final answer
    x = 619.94

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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.