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Finding the Fourth Proportional to 332.21, 496.84 and 295.90

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Solution

The fourth proportional to 332.21, 496.84 and 295.90 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.21 : 496.84 = 295.90 : x
  2. Step 2: Convert to fraction form
    332.21/496.84 = 295.90/x
  3. Step 3: Cross multiply
    332.21x = 496.84 × 295.90
  4. Step 4: Simplify right side
    332.21x = 147,014.96
  5. Step 5: Solve for x
    x = 147,014.96/332.21
  6. Step 6: Final answer
    x = 442.54

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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.