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Finding the Fourth Proportional to 502.00, 752.36 and 404.73

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Solution

The fourth proportional to 502.00, 752.36 and 404.73 is: 606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.00 : 752.36 = 404.73 : x
  2. Step 2: Convert to fraction form
    502.00/752.36 = 404.73/x
  3. Step 3: Cross multiply
    502.00x = 752.36 × 404.73
  4. Step 4: Simplify right side
    502.00x = 304,500.64
  5. Step 5: Solve for x
    x = 304,500.64/502.00
  6. Step 6: Final answer
    x = 606.58

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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.