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Finding the Fourth Proportional to 620.26, 929.84 and 295.46

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Solution

The fourth proportional to 620.26, 929.84 and 295.46 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.26 : 929.84 = 295.46 : x
  2. Step 2: Convert to fraction form
    620.26/929.84 = 295.46/x
  3. Step 3: Cross multiply
    620.26x = 929.84 × 295.46
  4. Step 4: Simplify right side
    620.26x = 274,730.53
  5. Step 5: Solve for x
    x = 274,730.53/620.26
  6. Step 6: Final answer
    x = 442.93

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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.