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Finding the Fourth Proportional to 620.35, 929.77 and 295.54

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Solution

The fourth proportional to 620.35, 929.77 and 295.54 is: 442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.35 : 929.77 = 295.54 : x
  2. Step 2: Convert to fraction form
    620.35/929.77 = 295.54/x
  3. Step 3: Cross multiply
    620.35x = 929.77 × 295.54
  4. Step 4: Simplify right side
    620.35x = 274,784.23
  5. Step 5: Solve for x
    x = 274,784.23/620.35
  6. Step 6: Final answer
    x = 442.95

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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.