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Finding the Fourth Proportional to 814.63, 1,221.96 and 295

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Solution

The fourth proportional to 814.63, 1,221.96 and 295 is: 442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.63 : 1,221.96 = 295 : x
  2. Step 2: Convert to fraction form
    814.63/1,221.96 = 295/x
  3. Step 3: Cross multiply
    814.63x = 1,221.96 × 295
  4. Step 4: Simplify right side
    814.63x = 360,478.20
  5. Step 5: Solve for x
    x = 360,478.20/814.63
  6. Step 6: Final answer
    x = 442.51

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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.