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Finding the Fourth Proportional to 295.60, 443.58 and 271.12

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Solution

The fourth proportional to 295.60, 443.58 and 271.12 is: 406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.60 : 443.58 = 271.12 : x
  2. Step 2: Convert to fraction form
    295.60/443.58 = 271.12/x
  3. Step 3: Cross multiply
    295.60x = 443.58 × 271.12
  4. Step 4: Simplify right side
    295.60x = 120,263.41
  5. Step 5: Solve for x
    x = 120,263.41/295.60
  6. Step 6: Final answer
    x = 406.85

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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.