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Finding the Fourth Proportional to 295.60, 443.76 and 276.88

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Solution

The fourth proportional to 295.60, 443.76 and 276.88 is: 415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.60 : 443.76 = 276.88 : x
  2. Step 2: Convert to fraction form
    295.60/443.76 = 276.88/x
  3. Step 3: Cross multiply
    295.60x = 443.76 × 276.88
  4. Step 4: Simplify right side
    295.60x = 122,868.27
  5. Step 5: Solve for x
    x = 122,868.27/295.60
  6. Step 6: Final answer
    x = 415.66

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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.