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Finding the Fourth Proportional to 356.52, 493.02 and 338.88

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Solution

The fourth proportional to 356.52, 493.02 and 338.88 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.52 : 493.02 = 338.88 : x
  2. Step 2: Convert to fraction form
    356.52/493.02 = 338.88/x
  3. Step 3: Cross multiply
    356.52x = 493.02 × 338.88
  4. Step 4: Simplify right side
    356.52x = 167,074.62
  5. Step 5: Solve for x
    x = 167,074.62/356.52
  6. Step 6: Final answer
    x = 468.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.