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Finding the Fourth Proportional to 493.01, 738.68 and 355.36

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Solution

The fourth proportional to 493.01, 738.68 and 355.36 is: 532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.01 : 738.68 = 355.36 : x
  2. Step 2: Convert to fraction form
    493.01/738.68 = 355.36/x
  3. Step 3: Cross multiply
    493.01x = 738.68 × 355.36
  4. Step 4: Simplify right side
    493.01x = 262,493.63
  5. Step 5: Solve for x
    x = 262,493.63/493.01
  6. Step 6: Final answer
    x = 532.43

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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.