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Finding the Fourth Proportional to 814.62, 1,221.56 and 352.10

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Solution

The fourth proportional to 814.62, 1,221.56 and 352.10 is: 527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.62 : 1,221.56 = 352.10 : x
  2. Step 2: Convert to fraction form
    814.62/1,221.56 = 352.10/x
  3. Step 3: Cross multiply
    814.62x = 1,221.56 × 352.10
  4. Step 4: Simplify right side
    814.62x = 430,111.28
  5. Step 5: Solve for x
    x = 430,111.28/814.62
  6. Step 6: Final answer
    x = 527.99

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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.